SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  SCHEDULE 13G


                                 (Rule 13d-102)


             INFORMATION STATEMENT PURSUANT TO RULES 13d-1 AND 13d-2


                   Under the Securities Exchange Act of 1934
                                (Amendment No. )

                           HOSPITALITY PROPERTIES TRUST
             -----------------------------------------------------
                                (Name of Issuer)

                                  Common Stock
              -----------------------------------------------------
                         (Title of Class of Securities)

                                   44106M102
             -----------------------------------------------------
                                 (CUSIP Number)

                               December 31, 2005
             -----------------------------------------------------
            (Date Of Event which Requires Filing of this Statement)

Check the following box if a fee is being paid with this statement [].


----------
*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required in 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 (however, see the
Notes).



CUSIP No. 44106M102                 13G                    Page 2  of 6 Pages

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

       Morgan Stanley
       IRS  # 36-314-5972
--------------------------------------------------------------------------------
   2.  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [  ]
                                                             (b)  [  ]
--------------------------------------------------------------------------------
   3.  SEC USE ONLY

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

       The state of organization is Delaware.
--------------------------------------------------------------------------------
   NUMBER OF      5.   SOLE VOTING POWER
     SHARES            3,632,793
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      6.   SHARED VOTING POWER
      EACH             1,290
   REPORTING      --------------------------------------------------------------
     PERSON       7.   SOLE DISPOSITIVE POWER
      WITH             3,632,793
                  --------------------------------------------------------------
                  8.   SHARED DISPOSITIVE POWER
                       1,290
--------------------------------------------------------------------------------
   9.  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

       3,648,783**
--------------------------------------------------------------------------------
  10.  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*

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

       5.1%**
--------------------------------------------------------------------------------
  12.  TYPE OF REPORTING PERSON*

       IA, CO, HC
--------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT!

**Please note Morgan Stanley disclaims beneficial ownership of a portion of the
  shares reported, which are owned indirectly through a client vehicle.  Morgan
  Stanley is not the custodian or administrator of the vehicle, and it is not
  clear that Morgan Stanley has voting or investment power over these shares.




CUSIP No. 44106M102                  13G                   Page 3  of 6 Pages


Item 1.     (a)   Name of Issuer:
                  HOSPITALITY PROPERTIES TRUST
                  --------------------------------------------------------------
            (b)   Address of Issuer's Principal Executive Offices:
                  400 CENTRE ST
                  NEWTON, MA 02158
                  --------------------------------------------------------------
Item 2.     (a)   Name of Person Filing:
                  Morgan Stanley
                  --------------------------------------------------------------
            (b)   Address of Principal Business Office, or if None, Residence:
                  1585 Broadway
                  New York, NY 10036
                  --------------------------------------------------------------
            (c)   Citizenship:
                  Incorporated by reference to Item 4 of the cover page
                  pertaining to each reporting person.
                  --------------------------------------------------------------
            (d)   Title of Class of Securities:
                  Common Stock
                  --------------------------------------------------------------
            (e)   CUSIP Number:
                  44106M102
                  --------------------------------------------------------------

Item 3.           Morgan Stanley is a parent holding company.




CUSIP No. 44106M102             13-G                   Page 4  of  6  Pages


Item 4.     Ownership.

            Incorporated by reference to Items (5) - (9) and (11) of the
            cover page.

            (a) Morgan Stanley is filing solely in its capacity as the parent
                company of, and indirect beneficial owner of securities held
                by, one of its business units.

Item 5.     Ownership of Five Percent or Less of a Class.

            Inapplicable

Item 6.     Ownership of More Than Five Percent on Behalf of Another Person.

            Inapplicable

Item 7.     Identification and Classification of the Subsidiary which Acquired
            the Security Being Reported on By the Parent Holding Company.

Item 8.     Identification and Classification of Members of the Group.

Item 9.     Notice of Dissolution of Group.

Item 10.    Certification.

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


CUSIP No. 44106M102             13-G                   Page 5  of  6 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.


Date:       February 15, 2006

Signature:  /s/ Dennine Bullard
            -----------------------------------------------------------------

Name/Title  Dennine Bullard/Executive Director, Morgan Stanley & Co.
                            Incorporated
            -----------------------------------------------------------------
            MORGAN STANLEY



                       INDEX TO EXHIBITS                               PAGE
                       -----------------                               ----

EXHIBIT 1       Secretary's Certificate Authorizing Dennine Bullard      6
                to Sign on behalf of Morgan Stanley


* Attention. Intentional misstatements or omissions of fact constitute federal
  criminal violations (see 18 U.S.C. 1001).




                                      EX-99.b
                              SECRETARY'S CERTIFICATE


 CUSIP No. 44106M102                    13-G                  Page 6 of 6 Pages

                                     EXHIBIT 1
                                ------------------

                                  MORGAN STANLEY

                              SECRETARY'S CERTIFICATE


         I, Charlene R. Herzer, a duly elected and acting Assistant Secretary
         of Morgan Stanley, a corporation organized and existing under the
         laws of the State of Delaware (the "Corporation"), certify as
         follows:


             (1) Donald G. Kempf, Jr. served as the duly elected Executive
                 Vice President, Chief Legal Officer and Secretary of the
                 Corporation from December 1, 1999 to August 26, 2005;

             (2) Pursuant to Section 7.01 of the Bylaws of the Corporation
                 and resolutions approved by the Board of Directors of the
                 Corporation on September 25, 1998, the Chief Legal Officer
                 is authorized to enter into agreements and other instruments
                 on behalf of the Corporation and may delegate such powers
                 to others under his jurisdiction; and

             (3) Donald G. Kempf signed a Delegation of Authority as of
                 February 23, 2000, which authorized Dennine Bullard to
                 sign reports to be filed under Section 13 and 16 of the
                 Securities Exchange Act of 1934 on behalf of the
                 Corporation.  Such authorization is in full force and
                 effect as of this date.

          IN WITNESS WHEREOF, I have hereunto set my name and affixed the seal
          of the Corporation as of the 23rd day of January, 2006.

                                                ______________________________
                                                Charlene R. Herzer
                                                Assistant Secretary