SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

SCHEDULE 13D

(Rule 13d-101)

INFORMATION TO BE INCLUDED IN STATEMENTS FILED PURSUANT

TO § 240.13d-1(a) AND AMENDMENTS THERETO FILED

PURSUANT TO § 240.13d-2(a)

Under the Securities Exchange Act of 1934

(Amendment No. 7)*

(Name of Issuer)

(Title of Class of Securities)

(CUSIP Number)

Roy J. Katzovicz, Esq.

Pershing Square Capital Management, L.P.

888 Seventh Avenue, 42nd Floor

New York, New York 10019

(212) 813-3700

with a copy to:

Alan J. Sinsheimer, Esq.

Sullivan & Cromwell LLP

125 Broad Street

New York, New York 10004

(212) 558-4000

(Name, Address and Telephone Number of Person Authorized to

Receive Notices and Communications)

(Date of Event Which Requires Filing of this Statement)

If the filing person has previously filed a statement on Schedule 13G to report the acquisition that is the subject of this Schedule 13D, and is filing this schedule because of §§240.13d-1(e), 240.13d-1(f) or 240.13d-1(g), check the following box.  ¨

Note: Schedules filed in paper format shall include a signed original and five copies of the schedule, including all exhibits. See Rule 13d-7 for other parties to whom copies are to be sent.

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 (however, see the Notes).

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This Amendment No. 7 relates to the Schedule 13D filed on October 28, 2011 and amended on November 22, 2011, December 1, 2011, December 13, 2011, January 24, 2012, February 22, 2012 and April 2, 2012 (as so amended, the “Original 13D”), by (i) Pershing Square Capital Management, L.P., a Delaware limited partnership (“Pershing Square”); (ii) PS Management GP, LLC, a Delaware limited liability company; (iii) Pershing Square GP, LLC, a Delaware limited liability company; and (iv) William A. Ackman, a citizen of the United States of America relating to common shares, without par value Canadian Pacific Railway Limited, a corporation organized under the Canada Business Corporations Act (the “Issuer”). Capitalized terms used but not defined herein shall have the meaning set forth in the Original 13D.

Item 3. Source and Amount of Funds or Other Consideration.

Item 3 of the Original 13D is hereby amended and supplemented as follows:

As part of a rebalancing transaction by and among PS and Pershing Square International, Pershing Square purchased on behalf of PS 173,814 Common Shares from Pershing Square International for total consideration of $13,201,173. PS funded this transaction out of its capital.

Item  4. Purpose of the Transaction.

Item 4 of the Original 13D is amended and supplemented as follows:

At the annual general meeting of shareholders of the Issuer on May 17, 2012, the seven director nominees proposed by Pershing Square, including Pershing Square representatives William A. Ackman and Paul C. Hilal, were elected and nine incumbent directors were re-elected to the board of directors of the Issuer.

Item 5. Interest in the Securities of the Issuer.

Items 5(a) and (b) of the Original 13D are amended and restated as follows:

(a), (b)

Based upon the Report of Foreign Issuer on Form 6-K, filed by the Issuer on April 20, 2012, there were 170,921,410 Common Shares outstanding as of April 20, 2012.

Based on the foregoing, the 24,159,888 Common Shares (the “Subject Shares”) beneficially owned by the Reporting Persons represent approximately 14.1% of the Common Shares outstanding.

Pershing Square, as the investment adviser to the Pershing Square Funds, may be deemed to have the shared power to vote or direct the vote of (and the shared power to dispose or direct the disposition of) the Subject Shares. As the general partner of Pershing Square, PS Management may be deemed to have the shared power to vote or to direct the vote of (and the shared power to dispose or direct the disposition of) the Subject Shares. As the general partner of PS and PS II, Pershing Square GP may be deemed to have the shared power to vote or to direct the vote of (and the shared power to dispose or direct the disposition of) the 10,209,695 Common Shares held for the account of PS and the 198,013 Common Shares held for the account of PS II. By virtue of William A. Ackman’s position as the Chief Executive Officer of Pershing Square and managing member of each of PS Management and Pershing Square GP, William A. Ackman may be deemed to have the shared power to vote or direct the vote of (and the shared power to dispose or direct the disposition of) the Subject Shares and, therefore, William A. Ackman may be deemed to be the beneficial owner of the Subject Shares.

As of the date hereof, none of the Reporting Persons own any Common Shares other than the Subject Shares covered in this Statement.

Item 5(c) of the Original 13D is amended and supplemented as follows:

Exhibit 99.1 from Amendment No. 7 which is incorporated by reference into this Item 5(c) as if restated in full, describes all of the transactions in Common Shares and options or other derivatives relating to Common Shares since the amendment filed on April 2, 2012.

Item 7. Material to be Filed as Exhibits.

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SIGNATURES

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: May 18, 2012

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EXHIBIT INDEX

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