Asprey is a surname. Notable people with the surname include:
Kenneth Asprey (1905–1993), judge of the New South Wales Court of Appeal
Bill Asprey (born 1936), English former football player and manager
Larned B. Asprey (1919–2005), American chemist
Robert B. Asprey (1923–2009), American military historian and author
Winifred Asprey (1917–2007), American mathematician and computer scientist