Palme is a surname. Notable people with the surname include:
Franc Palme (1914–?), Yugoslavian Olympic alpin skier
Gabriele Palme (born 1964), German handball player
Henry Palmé (1907–1987), Swedish marathon runner
Olof Palme (1927–1986), the assassinated former Prime Minister of Sweden
Lisbet Palme (born 1931), widow of Olof Palme
Rajani Palme Dutt (1896–1974), British politician
Rudolf Palme (1910–2005), Austrian chess player
Sieur de la Palme, Newfoundland governor
Ulf Palme (1920–1993), Swedish actor