Peavey is a surname. Notable people with the surname include:

Hartley Peavey (born 1941), American businessman, founder of Peavey Electronics Henry Peavey (1882–1931), American murder suspect Hubert H. Peavey (1881–1937), American politician Jack Peavey (born 1963), American football player and coach John Peavey (born 1933), American politician