William R. Wood (June 6, 1874 - ?) was a Presbyterian minister and politican in Manitoba, Canada. He served in the Legislative Assembly of Manitoba from 1915 to 1920, as a member of the Liberal Party. Wood was born in Veira, Orkney, Scotland, and came to Canada in 1887. He was educated at Port Elgin High School and Knox College in Toronto, graduating in 1904. Ordained as a Presbyterian minister, he served in Dumbarton, Ontario from 1904 to 1908, in Claremont, Ontario from 1908 to 1913, and in Franklin, Manitoba after 1913. He continued to work as a minister after winning election to the legislature. In 1919 Wood received a D.D. from Bates College.
He first ran for the Manitoba legislature in the 1914 provincial election, losing to Conservative cabinet minister James H. Howden by 32 votes in the Birtle constituency. Howden did not seek re-election in the 1915 election, and Wood defeated his Conservative opponent J.H. Irwin by 197 votes. The Liberals won a landslide majority in this election, and Wood served as a backbench supporter of Tobias C. Norris's government.
He did not seek re-election in 1920.