Canadian Pacific Railway F-10/ARegistration of securities (Canada) (amended)

Exhibit 5.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We consent to the incorporation by reference in this Amendment No. 1 to Registration Statement No. 333-257215 on Form F-10 of our reports dated February 18, 2021, relating to the financial statements of Canadian Pacific Railway Limited (the “Company”), and the effectiveness of the Company’s internal control over financial reporting, appearing in the Annual Report on Form 10-K of the Company for the year ended December 31, 2020. We also consent to the reference to us under the heading “Experts” in such Registration Statement.

/s/ Deloitte LLP

Chartered Professional Accountants

Calgary, Canada

June 28, 2021