Francis Cochrane (November 18, 1852 – September 22, 1919) was a Canadian politician. A prosperous hardware merchant before entering politics, he served as mayor of Sudbury, Ontario from 1897 to 1899, and 1902 to 1903.

He then ran as a Conservative Party candidate for Sudbury's electoral district in the Legislative Assembly of Ontario in 1905. He was elected, and served until 1911. He was Minister of Lands, Forests and Mines in the government of James P. Whitney from 1905 to 1908.

In 1911, he won a byelection to the Canadian House of Commons as the Conservative candidate in Nipissing, following the appointment of George Gordon to the Senate. Cochrane served in Nipissing until 1917, and was Minister of Railways and Canals in the government of Robert Borden.

In 1917, he ran as the Unionist-Conservative candidate in the new district of Timiskaming. He was re-elected, and served as Minister without Portfolio until his death in 1919.

The town of Cochrane, Ontario was named for him.

|- style="text-align: center;" | width="30%" |Preceded by:
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riding created in 1914 | width="40%" style="text-align: center;" |Members of Parliament from Timiskaming
1917–1919 | width="30%" |Succeeded by:
Angus McDonald
Independent