John Simms may refer to:

John Simms (clergyman) (1854–1934), Northern Irish Presbyterian clergyman, British Army chaplain, and Unionist politician Jack Simms (1903–?), English footballer John F. Simms (1916–1975), American politician, Governor of New Mexico, 1955–1957

See also John Simm (born 1970), British actor John Sims (disambiguation) John Symes (disambiguation)