Gudmundur Fjelsted (1 November 1872—20 January 1961) was a politician in Manitoba, Canada. He served in the Legislative Assembly of Manitoba from 1920 to 1922. Fjelsted was a farmer in Gimli, Manitoba. In the 1920 provincial election, he was elected to the legislature as a Farmer candidate, defeating Liberal incumbent Taras Ferley by 117 votes in the Gimli constituency. He served for the next two years as an opposition member, sitting with the Independent-Farmer group in the legislature. He did not seek re-election in 1922.

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1961 deaths Canadian people of Icelandic descent Progressive Party of Manitoba MLAs People from Gimli, Manitoba 1872 births {{Manitoba-politician-stub