Geoffrey Palmer may refer to:
Politicians
Sir Geoffrey Palmer, 1st Baronet (1598–1670), English lawyer and politician
Sir Geoffrey Palmer, 3rd Baronet (1655–1732), English politician, Member of Parliament (MP) for Leicestershire Geoffrey Palmer (MP) (1642–1661), briefly Member of Parliament for Ludgershall Geoffrey Palmer (politician) (born 1942), New Zealand politician and lawyer, Prime Minister of New Zealand, 1989–1990
Others
Geoffrey Palmer (actor) (born 1927), English actor
Geoffrey Henry Palmer (born 1940), grain scientist and human rights activist
Geoff Palmer (born 1954), English footballer
Geoff Palmer (scientist) (born 1940), professor of grain science
Geoff Useless (born 1980), pop punk and folk punk musician
Geoffrey Palmer, co-wrote the Huey Lewis and the News song "Couple Days Off"