SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                   ----------

                                  SCHEDULE 13G

                        UNDER THE SECURITIES ACT OF 1934
                               (AMENDMENT NO. __)


                      Universal Compression Holdings, Inc.
                      -------------------------------------
                                (Name of Issuer)

                     COMMON STOCK, PAR VALUE $0.01 PER SHARE
                    -----------------------------------------
                         (Title of Class of Securities)

                                    913431102
                                 --------------
                                 (CUSIP Number)

                                January 11, 2007
                      ------------------------------------
                      (Date of Event Which Requires Filing
                               of this Statement)

Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

      |_|   Rule 13d-1(b)

      |X|   Rule 13d-1(c)

      |_|   Rule 13d-1(d)

The information required on the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act.

                         (Continued on following pages)

                              (Page 1 of 16 Pages)





-------------------                                           ------------------
CUSIP NO. 913431102                   13G                     Page 2 of 16 Pages
-------------------                                           ------------------

--------------------------------------------------------------------------------
1      NAME OF REPORTING PERSON
       I.R.S. IDENTIFICATION NO. OF ABOVE PERSON (ENTITIES ONLY)

       TPG-Axon GP, LLC ("GPLLC")
--------------------------------------------------------------------------------
2      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                  (a) |X|

                                                                         (b) |_|
--------------------------------------------------------------------------------
3      SEC USE ONLY

--------------------------------------------------------------------------------
4      CITIZENSHIP OR PLACE OF ORGANIZATION

       Delaware
--------------------------------------------------------------------------------
       NUMBER OF       5       SOLE VOTING POWER
       SHARES
                               0
                       ---------------------------------------------------------
       BENEFICIALLY    6       SHARED VOTING POWER

                               2,000,000
                       ---------------------------------------------------------
       OWNED BY        7       SOLE DISPOSITIVE POWER

       EACH
                               0
       REPORTING
                       ---------------------------------------------------------
       PERSON          8       SHARED DISPOSITIVE POWER

       WITH                    2,000,000
--------------------------------------------------------------------------------
9      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       2,000,000
--------------------------------------------------------------------------------
10     CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
       |_|

--------------------------------------------------------------------------------
11     PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

       6.6%*
--------------------------------------------------------------------------------
12     TYPE OF REPORTING PERSON

       OO
--------------------------------------------------------------------------------

* All percentage ownerships reported in this Schedule 13G are based on
30,413,014 shares of Common Stock issued and outstanding as of November 2, 2006,
as reported by the Issuer (as defined below) in its Quarterly Report on Form
10-Q for the fiscal quarter ended September 30, 2006, filed with the Securities
and Exchange Commission on November 8, 2006.





-------------------                                           ------------------
CUSIP NO. 913431102                   13G                     Page 3 of 16 Pages
-------------------                                           ------------------

--------------------------------------------------------------------------------
1      NAME OF REPORTING PERSON
       I.R.S. IDENTIFICATION NO. OF ABOVE PERSON (ENTITIES ONLY)

       TPG-Axon Partners GP, L.P. ("PartnersGP")
--------------------------------------------------------------------------------
2      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                  (a) |X|

                                                                         (b) |_|
--------------------------------------------------------------------------------
3      SEC USE ONLY

--------------------------------------------------------------------------------
4      CITIZENSHIP OR PLACE OF ORGANIZATION

       Delaware
--------------------------------------------------------------------------------
       NUMBER OF       5       SOLE VOTING POWER
       SHARES
                               0
                       ---------------------------------------------------------
       BENEFICIALLY    6       SHARED VOTING POWER

                               1,300,070
                       ---------------------------------------------------------
       OWNED BY        7       SOLE DISPOSITIVE POWER

       EACH
                               0
       REPORTING
                       ---------------------------------------------------------
       PERSON          8       SHARED DISPOSITIVE POWER

       WITH                    1,300,070
--------------------------------------------------------------------------------
9      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       1,300,070
--------------------------------------------------------------------------------
10     CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
       |_|

--------------------------------------------------------------------------------
11     PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

       4.3%*
--------------------------------------------------------------------------------
12     TYPE OF REPORTING PERSON

       PN
--------------------------------------------------------------------------------





-------------------                                           ------------------
CUSIP NO. 913431102                   13G                     Page 4 of 16 Pages
-------------------                                           ------------------

--------------------------------------------------------------------------------
1      NAME OF REPORTING PERSON
       I.R.S. IDENTIFICATION NO. OF ABOVE PERSON (ENTITIES ONLY)

       TPG-Axon Partners, LP ("TPG-Axon Domestic")
--------------------------------------------------------------------------------
2      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                  (a) |X|

                                                                         (b) |_|
--------------------------------------------------------------------------------
3      SEC USE ONLY

--------------------------------------------------------------------------------
4      CITIZENSHIP OR PLACE OF ORGANIZATION

       Delaware
--------------------------------------------------------------------------------
       NUMBER OF       5       SOLE VOTING POWER
       SHARES
                               0
                       ---------------------------------------------------------
       BENEFICIALLY    6       SHARED VOTING POWER

                               1,300,070
                       ---------------------------------------------------------
       OWNED BY        7       SOLE DISPOSITIVE POWER

       EACH
                                0
       REPORTING
                       ---------------------------------------------------------
       PERSON          8       SHARED DISPOSITIVE POWER

       WITH                    1,300,070
--------------------------------------------------------------------------------
9      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       1,300,070
--------------------------------------------------------------------------------
10     CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
       |_|

--------------------------------------------------------------------------------
11     PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

       4.3%*
--------------------------------------------------------------------------------
12     TYPE OF REPORTING PERSON

       PN
--------------------------------------------------------------------------------





-------------------                                           ------------------
CUSIP NO. 913431102                   13G                     Page 5 of 16 Pages
-------------------                                           ------------------

--------------------------------------------------------------------------------
1      NAME OF REPORTING PERSON
       I.R.S. IDENTIFICATION NO. OF ABOVE PERSON (ENTITIES ONLY)

       TPG-Axon Capital Management, L.P. ("TPG-Axon Management")
--------------------------------------------------------------------------------
2      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                  (a) |X|

                                                                         (b) |_|
--------------------------------------------------------------------------------
3      SEC USE ONLY

--------------------------------------------------------------------------------
4      CITIZENSHIP OR PLACE OF ORGANIZATION

       Delaware
--------------------------------------------------------------------------------
       NUMBER OF       5       SOLE VOTING POWER
       SHARES
                               0
                       ---------------------------------------------------------
       BENEFICIALLY    6       SHARED VOTING POWER

                               2,000,000
                       ---------------------------------------------------------
       OWNED BY        7       SOLE DISPOSITIVE POWER

       EACH
                               0
       REPORTING
                       ---------------------------------------------------------
       PERSON          8       SHARED DISPOSITIVE POWER

       WITH                    2,000,000
--------------------------------------------------------------------------------
9      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       2,000,000
--------------------------------------------------------------------------------
10     CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
       |_|

--------------------------------------------------------------------------------
11     PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

       6.6%*
--------------------------------------------------------------------------------
12     TYPE OF REPORTING PERSON

       PN
--------------------------------------------------------------------------------





-------------------                                           ------------------
CUSIP NO. 913431102                   13G                     Page 6 of 16 Pages
-------------------                                           ------------------

--------------------------------------------------------------------------------
1      NAME OF REPORTING PERSON
       I.R.S. IDENTIFICATION NO. OF ABOVE PERSON (ENTITIES ONLY)

       TPG-Axon Partners (Offshore), Ltd. ("TPG-Axon Offshore")
--------------------------------------------------------------------------------
2      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                  (a) |X|

                                                                         (b) |_|
--------------------------------------------------------------------------------
3      SEC USE ONLY

--------------------------------------------------------------------------------
4      CITIZENSHIP OR PLACE OF ORGANIZATION

       Cayman Islands
--------------------------------------------------------------------------------
       NUMBER OF       5       SOLE VOTING POWER
       SHARES
                               0
                       ---------------------------------------------------------
       BENEFICIALLY    6       SHARED VOTING POWER

                               699,930
                       ---------------------------------------------------------
       OWNED BY        7       SOLE DISPOSITIVE POWER

       EACH
                               0
       REPORTING
                       ---------------------------------------------------------
       PERSON          8       SHARED DISPOSITIVE POWER

       WITH                    699,930
--------------------------------------------------------------------------------
9      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       699,930
--------------------------------------------------------------------------------
10     CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
       |_|

--------------------------------------------------------------------------------
11     PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

       2.3%*
--------------------------------------------------------------------------------
12     TYPE OF REPORTING PERSON

       OO
--------------------------------------------------------------------------------





-------------------                                           ------------------
CUSIP NO. 913431102                   13G                     Page 7 of 16 Pages
-------------------                                           ------------------

--------------------------------------------------------------------------------
1      NAME OF REPORTING PERSON
       I.R.S. IDENTIFICATION NO. OF ABOVE PERSON (ENTITIES ONLY)

       Dinakar Singh LLC ("Singh LLC")
--------------------------------------------------------------------------------
2      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                  (a) |X|

                                                                         (b) |_|
--------------------------------------------------------------------------------
3      SEC USE ONLY

--------------------------------------------------------------------------------
4      CITIZENSHIP OR PLACE OF ORGANIZATION

       Delaware
--------------------------------------------------------------------------------
       NUMBER OF       5       SOLE VOTING POWER
       SHARES
                               0
                       ---------------------------------------------------------
       BENEFICIALLY    6       SHARED VOTING POWER

                               2,000,000
                       ---------------------------------------------------------
       OWNED BY        7       SOLE DISPOSITIVE POWER

       EACH
                               0
       REPORTING
                       ---------------------------------------------------------
       PERSON          8       SHARED DISPOSITIVE POWER

       WITH                    2,000,000
--------------------------------------------------------------------------------
9      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       2,000,000
--------------------------------------------------------------------------------
10     CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
       |_|

--------------------------------------------------------------------------------
11     PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

       6.6%*
--------------------------------------------------------------------------------
12     TYPE OF REPORTING PERSON

       OO
--------------------------------------------------------------------------------





-------------------                                           ------------------
CUSIP NO. 913431102                   13G                     Page 8 of 16 Pages
-------------------                                           ------------------

--------------------------------------------------------------------------------
1      NAME OF REPORTING PERSON
       I.R.S. IDENTIFICATION NO. OF ABOVE PERSON (ENTITIES ONLY)

       Dinakar Singh ("Mr. Singh")
--------------------------------------------------------------------------------
2      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                  (a) |X|

                                                                         (b) |_|
--------------------------------------------------------------------------------
3      SEC USE ONLY

--------------------------------------------------------------------------------
4      CITIZENSHIP OR PLACE OF ORGANIZATION

       USA
--------------------------------------------------------------------------------
       NUMBER OF       5       SOLE VOTING POWER
       SHARES
                               0
                       ---------------------------------------------------------
       BENEFICIALLY    6       SHARED VOTING POWER

                               2,000,000
                       ---------------------------------------------------------
       OWNED BY        7       SOLE DISPOSITIVE POWER

       EACH
                               0
       REPORTING
                       ---------------------------------------------------------
       PERSON          8       SHARED DISPOSITIVE POWER

       WITH                    2,000,000
--------------------------------------------------------------------------------
9      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       2,000,000
--------------------------------------------------------------------------------
10     CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
       |_|

--------------------------------------------------------------------------------
11     PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

       6.6%*
--------------------------------------------------------------------------------
12     TYPE OF REPORTING PERSON

       IN
--------------------------------------------------------------------------------





-------------------                                           ------------------
CUSIP NO. 913431102                   13G                     Page 9 of 16 Pages
-------------------                                           ------------------

ITEM 1.

      (a)   Name of Issuer: Universal Compression Holdings, Inc.

      (b)   Address of Issuer's Principal Executive Offices:

            4444 Brittmoore Road
            Houston, Texas 77041

ITEM 2.

      (a)   Name of Person Filing: GPLLC, PartnersGP, TPG-Axon Domestic,
            TPG-Axon Management, TPG-Axon Offshore, Singh LLC and Mr. Singh

      (b)   Address of Principal Office:

            (All, except TPG-Axon       TPG-Axon Offshore
            Offshore)

            888 Seventh Avenue          c/o Goldman Sachs (Cayman) Trust Limited
            38th Floor                  PO Box 896 GT, Harbour Centre
            New York, New York 10019    George Town, Grand Cayman
                                        Cayman Islands, BWI

      (c)   Citizenship: (All, except TPG-Axon Offshore and Mr. Singh) Delaware;
            TPG-Axon Offshore: Cayman Islands; Mr. Singh: United States.

      (d)   Title of Class of Securities: Common Stock, par value $0.01 per
            share

      (e)   CUSIP Number: 913431102

ITEM 3.  IF THIS STATEMENT IS FILED PURSUANT TO SS.SS.240.13D-1(B) OR
         240.13D-2(B) OR (C), CHECK WHETHER THE PERSON FILING IS A:

      (a) |_|   Broker or dealer registered under section 15 of the Act
                (15 U.S.C. 78o).

      (b) |_|   Bank as defined in section 3(a)(6) of the Act (15 U.S.C.78c).

      (c) |_|   Insurance company as defined in section 3(a)(19) of the Act
                (15 U.S.C. 78c).

      (d) |_|   Investment company registered under section 8 of the
                Investment Company Act of 1940 (15 U.S.C. 80a-8).

      (e) |_|   An investment adviser in accordance with
                ss.240.13d-1(b)(1)(ii)(E).

      (f) |_|   An employee benefit plan or endowment fund in accordance with
                ss.240.13d-1(b)(1)(ii)(F).





-------------------                                          ------------------
CUSIP NO. 913431102                   13G                    Page 10 of 16 Pages
-------------------                                          ------------------

      (g) |_|   A parent holding company or control person in accordance with
                ss.240.13d-1(b)(1)(ii)(G).

      (h) |_|   A savings association as defined in Section 3(b) of the
                Federal Deposit Insurance Act (12 U.S.C. 1813).

      (i) |_|   A church plan that is excluded from the definition of an
                investment company under section 3(c)(14) of the Investment
                Company Act of 1940 (15 U.S.C. 80a-3).

      (j) |_|   Group, in accordance with Section 240.13d-1(b)(1)(ii)(J).

      IF THIS STATEMENT IS FILED PURSUANT TO Rule 13d-1(c), CHECK THIS BOX. |X|

ITEM 4.  OWNERSHIP

     The information required by Items 4(a) - (c) is set forth in rows 5 - 11
of the cover page for each Reporting Person hereto and is incorporated herein by
reference for each such Reporting Person.

     TPG-Axon Management, as investment manager to TPG-Axon Domestic and
TPG-Axon Offshore, has the power to direct the disposition and voting of the
Shares held by TPG-Axon Domestic and TPG-Axon Offshore. PartnersGP is the
general partner of TPG-Axon Domestic. GPLLC is the general partner of PartnersGP
and TPG-Axon Management. Singh LLC is a Managing Member of GPLLC. Mr. Singh, an
individual, is the Managing Member of Singh LLC and in such capacity may be
deemed to control Singh LLC, GPLLC and TPG-Axon Management, and therefore may be
deemed the beneficial owner of the securities held by TPG-Axon Domestic and
TPG-Axon Offshore. Mr. Singh and Eric Mandelblatt ("Mr. Mandelblatt") are
Co-Chief Executive Officers of TPG-Axon Management.

     Each of Singh LLC, GPLLC, PartnersGP, Mr. Singh and Mr. Mandelblatt
disclaims beneficial ownership of all of the shares of Common Stock reported in
this 13G.






-------------------                                          ------------------
CUSIP NO. 913431102                   13G                    Page 11 of 16 Pages
-------------------                                          ------------------


ITEM 5. OWNERSHIP OF FIVE PERCENT OR LESS OF A CLASS

     If this statement is being filed to report the fact that as of the date
     hereof the reporting person has ceased to be the beneficial owner of more
     than five percent of the class of securities, check the following |_|.

     Not applicable.

ITEM 6. OWNERSHIP OF MORE THAN FIVE PERCENT ON BEHALF OF ANOTHER PERSON

     See Item 4.

ITEM 7. IDENTIFICATION AND CLASSIFICATION OF THE SUBSIDIARY WHICH ACQUIRED
        THE SECURITY BEING REPORTED ON BY THE PARENT HOLDING COMPANY OR CONTROL
        PERSON.

     Not applicable.

ITEM 8. IDENTIFICATION AND CLASSIFICATION OF MEMBERS OF THE GROUP

     Not applicable.

ITEM 9. NOTICE OF DISSOLUTION OF THE GROUP

     Not applicable.

ITEM 10. CERTIFICATION

     By signing below I certify that, to the best of my knowledge and belief,
     the securities referred to above were not acquired and are not held for the
     purpose of or with the effect of changing or influencing the control of the
     issuer of the securities and were not acquired and are not held in
     connection with or as a participant in any transaction having that purpose
     or effect.





-------------------                                          -------------------
CUSIP NO. 913431102                   13G                    Page 12 of 16 Pages
-------------------                                          -------------------

                                    SIGNATURE

After reasonable inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.


Dated:  January 22, 2007



                               TPG-Axon GP, LLC


                               By:  /s/  Dinakar Singh
                                    ----------------------
                                    Dinakar Singh
                                    Co-President


                               TPG-Axon Partners GP, L.P.
                               By: TPG-Axon GP, LLC, general partner


                               By:  /s/  Dinakar Singh
                                    ----------------------
                                    Dinakar Singh
                                    Co-President


                               TPG-Axon Partners, LP
                               By:  TPG-Axon Partners GP, L.P., general partner
                               By:  TPG-Axon GP, LLC, general partner


                               By:  /s/  Dinakar Singh
                                    ----------------------
                                    Dinakar Singh
                                    Co-President


                               TPG-Axon Capital Management, L.P.
                               By:  TPG-Axon GP, LLC, general partner


                               By:  /s/  Dinakar Singh
                                    ----------------------
                                    Dinakar Singh
                                    Co-President






-------------------                                          -------------------
CUSIP NO. 913431102                   13G                    Page 13 of 16 Pages
-------------------                                          -------------------


                               TPG-Axon Partners (Offshore), Ltd.


                               By:  /s/  Dinakar Singh
                                    ----------------------
                                    Dinakar Singh
                                    Director


                               Dinakar Singh LLC


                               By:  /s/  Dinakar Singh
                                    ----------------------
                                    Dinakar Singh
                                    Managing Member


                               /s/  Dinakar Singh
                               ---------------------------
                                    Dinakar Singh






-------------------                                          -------------------
CUSIP NO. 913431102                   13G                    Page 14 of 16 Pages
-------------------                                          -------------------



                                LIST OF EXHIBITS
                                 TO SCHEDULE 13G

                                                                            Page
                                                                            ----

1.   Agreement to Make Joint Filing.....................................     15






-------------------                                          -------------------
CUSIP NO. 913431102                   13G                    Page 15 of 16 Pages
-------------------                                          -------------------


                                    EXHIBIT 1

                         AGREEMENT TO MAKE JOINT FILING



          Each of the undersigned acknowledges and agrees that the foregoing
statement on Schedule 13G is filed on behalf of each of the undersigned and that
all subsequent amendments to this statement on Schedule 13G shall be filed on
behalf of each of the undersigned without the necessity of filing additional
joint filing agreements.


Dated:  January 22, 2007


                               TPG-Axon GP, LLC


                               By:  /s/  Dinakar Singh
                                    ----------------------
                                    Dinakar Singh
                                    Co-President


                               TPG-Axon Partners GP, L.P.
                               By: TPG-Axon GP, LLC, general partner


                               By:  /s/  Dinakar Singh
                                    ----------------------
                                    Dinakar Singh
                                    Co-President


                               TPG-Axon Partners, LP
                               By:  TPG-Axon Partners GP, L.P., general partner
                               By:  TPG-Axon GP, LLC, general partner


                               By:  /s/  Dinakar Singh
                                    ----------------------
                                    Dinakar Singh
                                    Co-President





-------------------                                          -------------------
CUSIP NO. 913431102                   13G                    Page 16 of 16 Pages
-------------------                                          -------------------


                               TPG-Axon Capital Management, L.P.
                               By:  TPG-Axon GP, LLC, general partner


                               By:  /s/  Dinakar Singh
                                    ----------------------
                                    Dinakar Singh
                                    Co-President


                               TPG-Axon Partners (Offshore), Ltd.


                               By:  /s/  Dinakar Singh
                                    ----------------------
                                    Dinakar Singh
                                    Director


                               Dinakar Singh LLC


                               By:  /s/  Dinakar Singh
                                    ----------------------
                                    Dinakar Singh
                                    Managing Member


                               /s/  Dinakar Singh
                               ---------------------------
                                    Dinakar Singh