Rimmer is a surname. Notable people with the surname include:
Eve Rimmer (1937–1996), New Zealand athlete
Jimmy Rimmer, English footballer
Jodie Rimmer (born 1974), New Zealand voice and performer actress
John Rimmer (1878–1962), British athlete
Lasse Rimmer (born 1972), Danish entertainer
Marie Rimmer, British Labour Party politician, Member of Parliament (MP) for St Helens South and Whiston May 2015
Michael Rimmer (born 1986), English middle distance runner
Richard Rimmer, director, California Department of Corrections, 2004
Robert Rimmer, author of The Harrad Experiment
Simon Rimmer (born 1962), English Celebrity chef and television presenter
Shane Rimmer (born 1932), Canadian actor
William Rimmer, English-born American artist
William Rimmer (music), English composer of brass band music
Fictional characters:
Arnold Rimmer, a fictional character in the BBC sitcom Red Dwarf
Michael Rimmer, fictional anti-hero of the film The Rise and Rise of Michael Rimmer