This SUPPLEMENTAL INDENTURE NO. 13 (this “ Supplemental Indenture ”) made and entered into as of August 12, 2009 between HOSPITALITY PROPERTIES TRUST, a Maryland real estate investment trust (the “ Company ”), and U.S. BANK NATIONAL ASSOCIATION, a national banking association, as Trustee (the “ Trustee ”).

WITNESSETH THAT:

WHEREAS, the Company and the Trustee are parties to an Indenture, dated as of February 25, 1998 (the “ Indenture ”), relating to the Company’s issuance, from time to time, of various series of debt securities;

WHEREAS, the Company has determined to issue debt securities known as its 7.875% Senior Notes due 2014; and

WHEREAS, the Indenture provides that certain terms and conditions for each series of debt securities issued by the Company thereunder may be set forth in an indenture supplemental to the Indenture;

NOW, THEREFORE, THIS SUPPLEMENTAL INDENTURE WITNESSETH:

ARTICLE 1

DEFINED TERMS

Section 1.1             Terms Defined in Indenture .  Capitalized terms used herein and not defined herein have the meanings ascribed to such terms in the Indenture.

Section 1.2             Supplemental Definitions .  The following definitions supplement, and, to the extent inconsistent with, replace the definitions in Section 101 of the Indenture:

“ Acquired Debt ” means Debt of a Person (i) existing at the time such Person becomes a Subsidiary or (ii) assumed in connection with the acquisition of assets from such Person, in each case, other than Debt incurred in connection with, or in contemplation of, such Person becoming a Subsidiary or such acquisition.  Acquired Debt shall be deemed to be incurred on the date of the related acquisition of assets from any Person or the date the acquired Person becomes a Subsidiary.

“ Additional Notes ” has the meaning provided in Section 2.1(b) hereof.

“ Adjusted Total Assets ” has the meaning provided in clause (i) of Section 3.1(a) hereof.

“ Annual Debt Service ” as of any date means the maximum amount which is expensed in any 12-month period for interest on Debt of the Company and its Subsidiaries.

“ Business Day ” means any day other than a Saturday or Sunday or a day on which banking institutions in The City of New York or in the city in which the Corporate Trust Office of the Trustee is located are required or authorized to close.

“ Capital Stock ” means, with respect to any Person, any capital stock (including preferred stock), shares, interests, participation or other ownership interests (however designated) of such Person and any rights (other than debt securities convertible into or exchangeable for capital stock), warrants or options to purchase any thereof.

“ Consolidated Income Available for Debt Service ” for any period means Earnings from Operations of the Company and its Subsidiaries plus amounts which have been deducted, and minus amounts which have been added, for the following (without duplication): (i) interest on Debt of the Company and its Subsidiaries, (ii) cash reserves made by lessees as required by the Company’s leases for periodic replacement and refurbishment of the Company’s assets, (iii) provision for taxes of the Company and its Subsidiaries based on income, (iv) amortization of debt discount and deferred financing costs, (v) provisions for gains and losses on properties and property depreciation and amortization, (vi) the effect of any noncash charge resulting from a change in accounting principles in determining Earnings from Operations for such period and (vii) amortization of deferred charges.

“ Corporate Trust Office ” means One Federal Street, 3rd Floor, Boston, Massachusetts 02110, or such other address as may be designated from time to time by the Trustee by providing written notice to the Company.

“ Debt ” of the Company or any Subsidiary means, without duplication, any indebtedness of the Company or any Subsidiary, whether or not contingent, in respect of (i) borrowed money or evidenced by bonds, notes, debentures or similar instruments, (ii) indebtedness for borrowed money secured by any Encumbrance existing on property owned by the Company or any Subsidiary, to the extent of the lesser of (x) the amount of indebtedness so secured and (y) the fair market value of the property subject to such Encumbrance, (iii) the reimbursement obligations, contingent or otherwise, in connection with any letters of credit actually issued (other than letters of credit issued to provide credit enhancement or support with respect to other indebtedness of the Company or any Subsidiary otherwise reflected as Debt hereunder) or amounts representing the balance deferred and unpaid of the purchase price of any property or services, except any such balance that constitutes an accrued expense or trade payable, or all conditional sale obligations or obligations under any title retention agreement, (iv) the principal amount of all obligations of the Company or any Subsidiary with respect to redemption, repayment or other repurchase of any Disqualified Stock, or (v) any lease of property by the Company or any Subsidiary as lessee which is reflected on the Company’s consolidated balance sheet as a capitalized lease in accordance with GAAP, to the extent, in the case of items of indebtedness under (i) through (iii) above, that any such items (other than letters of credit) would appear as a liability on the Company’s consolidated balance sheet in accordance with GAAP, and also includes, to the extent not otherwise included, any obligation by the Company or any Subsidiary to be liable for, or to pay, as obligor, guarantor or otherwise (other than for purposes of collection in the ordinary course of business), Debt of another Person (other than the Company or any Subsidiary) (it being understood that Debt shall be deemed to be incurred by the Company or any Subsidiary whenever the Company or such Subsidiary shall create, assume, guarantee or otherwise become liable in respect thereof).

“ Depositary ” has the meaning provided in Section 2.1(d) hereof.

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“ Disqualified Stock ” means, with respect to any Person, any Capital Stock of such Person which by the terms of such Capital Stock (or by the terms of any security into which it is convertible or for which it is exchangeable or exercisable), upon the happening of any event or otherwise (i) matures or is mandatorily redeemable, pursuant to a sinking fund obligation or otherwise (other than Capital Stock which is redeemable solely in exchange for common stock or shares), (ii) is convertible into or exchangeable or exercisable for Debt or Disqualified Stock, or (iii) is redeemable at the option of the Holder thereof, in whole or in part (other than Capital Stock which is redeemable solely in exchange for common stock or shares), in each case on or prior to the stated maturity of the Notes.

“ Earnings from Operations ” for any period means net earnings excluding gains and losses on sales of investments, extraordinary items, gains and losses from early extinguishment of debt and property valuation losses, as reflected in the financial statements of the Company and its Subsidiaries for such period, determined on a consolidated basis in accordance with GAAP.

“ Encumbrance ” means any mortgage, lien, charge, pledge or security interest of any kind.

“ Interest Payment Date ” has the meaning provided in Section 2.1(e) hereof.

“ Make-Whole Amount ” means, in connection with any optional redemption or accelerated payment of any Notes prior to February 15, 2014, the excess, if any, of (i) the aggregate present value as of the date of such redemption or accelerated payment of each dollar of principal being redeemed or paid and the amount of interest (exclusive of interest accrued to the date of redemption or accelerated payment) that would have been payable in respect of such dollar if such redemption or accelerated payment had been made on February 15, 2014, determined by discounting, on a semiannual basis, such principal and interest at the Reinvestment Rate (determined on the third Business Day preceding the date such notice of redemption is given or declaration of acceleration is made) from the respective dates on which such principal and interest would have been payable if such redemption or accelerated payment had been made on February 15, 2014, over (ii) the aggregate principal amount of the Notes being redeemed or paid.  In the case of any redemption or accelerated payment of notes on or after February 15, 2014, the Make-Whole Amount means zero.  For purposes of this Supplemental Indenture and the Notes, references in the Indenture to the payment of the principal (and premium, if any) and interest on the Notes shall be deemed to include the payment of the Make-Whole Amount, if any, due upon redemption with respect to the Notes.  The Make-Whole Amount shall be calculated by the Company and set forth in an Officer’s Certificate delivered to the Trustee, and the Trustee shall be entitled to rely on said Officer’s Certificate.

“ Notes ” means the Company’s 7.875% Senior Notes due 2014, issued under this Supplemental Indenture and the Indenture, as amended or supplemented from time to time.  (For the avoidance of doubt, the term “Notes” shall include any Additional Notes so issued.)

“ Regular Record Date ” has the meaning provided in Section 2.1(e) hereof.

“ Reinvestment Rate ” means a rate per annum equal to the sum of 0.50% (50 one hundredths of one percent) plus the yield on treasury securities at constant maturity under the

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heading “Week Ending” published in the Statistical Release under the caption “Treasury Constant Maturities” for the maturity (rounded to the nearest month) corresponding to the remaining life to maturity (which, in the case of maturities corresponding to the principal and interest due on the notes at their maturity, shall be deemed to be February 15, 2014), as of the payment date of the principal being redeemed or paid.  If no maturity exactly corresponds to such maturity, yields for the two published maturities most closely corresponding to such maturity shall be calculated pursuant to the immediately preceding sentence and the Reinvestment Rate shall be interpolated or extrapolated from such yields on a straight-line basis, rounding in each of such relevant periods to the nearest month.  For purposes of calculating the Reinvestment Rate, the most recent Statistical Release published prior to the date of determination of the Make-Whole Amount shall be used.

“ Secured Debt ” means Debt secured by any mortgage, lien, charge, pledge or security interest of any kind.

“ Statistical Release ” means the statistical release designated “H.15(519)” or any successor publication which is published weekly by the Federal Reserve System and which establishes yields on actively traded United States government securities adjusted to constant maturities or, if such statistical release is not published at the time of any determination under this Supplemental Indenture, then any publicly available source of similar market data which shall be designated by the Company.

“ Subsidiary ” means any corporation or other entity of which a majority of (i) the voting power of the voting equity securities or (ii) the outstanding equity interests of which are owned, directly or indirectly, by the Company or one or more other Subsidiaries of the Company.  For the purposes of this definition, “voting equity securities” means equity securities having voting power for the election of directors, whether at all times or only so long as no senior class of security has such voting power by reason of any contingency.

“ Total Assets ” as of any date means the sum of (i) the Undepreciated Real Estate Assets and (ii) all other assets of the Company and its Subsidiaries determined in accordance with GAAP (but excluding accounts receivable and intangibles).

“ Total Unencumbered Assets ” means the sum of (i) those Undepreciated Real Estate Assets not subject to an Encumbrance for borrowed money and (ii) all other assets of the Company and its Subsidiaries not subject to an Encumbrance for borrowed money determined in accordance with GAAP (but excluding accounts receivable and intangibles).

“ Undepreciated Real Estate Assets ” as of any date means the cost (original cost plus capital improvements) of, real estate assets of the Company and its Subsidiaries on such date, before depreciation and amortization determined on a consolidated basis in accordance with GAAP.

“ Unsecured Debt ” means Debt which is not secured by any of the properties of the Company or any Subsidiary.

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ARTICLE 2

TERMS OF THE NOTES

Section 2.1                                       Terms of the Notes .  Pursuant to Section 301 of the Indenture, the Notes shall have the following terms and conditions:

(a)           Title .  The Notes shall be Registered Securities under the Indenture and shall be known as the Company’s “7.875% Senior Notes due 2014.”

(b)           Aggregate Principal Amount .  The aggregate principal amount of Notes to be authenticated and delivered under this Supplemental Indenture shall initially be limited to $300,000,000, except as otherwise permitted by the provisions of the Indenture; provided that the Company may from time to time, without the consent of the Holders of the Notes, increase the principal amount of the Notes by issuing additional Securities in the future (the “ Additional Notes ”) having the same terms and ranking equally and ratably with the Notes in all respects and with the same CUSIP number as the Notes, except for the difference in the issue price and interest accrued prior to the issue date of such Additional Notes, provided that such Additional Notes constitute part of the same issue as the Notes for U.S. federal income tax purposes.  Any Additional Notes will be treated as a single series with the Notes under the Indenture and shall have the same terms as to status, redemption and otherwise as the Notes, and references herein to the Notes shall include any Additional Notes.

(c)           Form of Notes .  The Notes (together with the Trustee’s certificate of authentication) shall be substantially in the form of Exhibit A hereto, which is hereby incorporated in and made a part of this Supplemental Indenture.  Any of the Notes may have such letters, numbers or other marks of identification and such notations, legends, endorsements or changes as the officers executing the same may approve (execution thereof to be conclusive evidence of such approval) and as are not inconsistent with the provisions of the Indenture, or as may be required by the Depositary or as may be required to comply with any applicable law or with any rule or regulation made pursuant thereto or with any rule or regulation of any securities exchange or automated quotation system on which the Notes may be listed, or to conform to usage, or to indicate any special limitations or restrictions to which any particular Notes are subject.

(d)           Registered Securities in Book Entry Form .   The Notes shall be issuable in the form of one or more global Securities registered in the name of The Depository Trust Company’s nominee, and shall be deposited with, or on behalf of, The Depository Trust Company, New York, New York (including any successor depositary appointed hereunder, the “ Depositary ”).  The Notes may be surrendered for registration of transfer at the office or agency of the Company (including the Corporate Trust Office of the Trustee) maintained for such purpose, or at any other office or agency maintained by the Company for such purpose.

So long as the Depositary or its nominee is the registered owner of a Global Note, the Depositary or its nominee, as the case may be, will be considered the sole Holder of the Notes represented by such Global Note for all purposes under the Indenture and this Supplemental Indenture, and the beneficial owners of the Notes will be entitled only to those

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rights and benefits afforded to them in accordance with the Depositary’s regular operating procedures.  Except as provided below, owners of beneficial interests in a Global Note will not be entitled to have Notes registered in their names, will not receive or be entitled to receive physical delivery of Notes in certificated form and will not be considered the registered owners or Holders thereof under the Indenture or this Supplemental Indenture.

If (i) the Depositary is at any time unwilling or unable to continue as depository or if at any time the Depositary ceases to be a clearing agency registered under the Exchange Act and a successor depository is not appointed by the Company within 90 days, (ii) an Event of Default relating to the Notes has occurred and is continuing and the beneficial owners representing a majority in principal amount of the Notes advise the Depository to cease acting as depository for the Notes, or (iii) the Company, in its sole discretion, determines at any time that the Notes shall no longer be represented by a Global Note, the Company will in accordance with the Indenture issue individual Notes in certificated form of the same series and like tenor and in the applicable principal amount in exchange for the Notes represented by the Global Note.  In any such instan