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

Christopher Coover (1950–2022), American antiquarian book expert Colleen Coover (born 1969), American comic book artist and author Harry Coover (1917–2011), American inventor John Edgar Coover (1872–1938), American psychologist and parapsychologist Nancy Coover Andreasen (born 1938), American neuroscientist Pilar Sans Coover (born 1936), Spanish American textile artist, wife of Robert Robert Coover (1932–2024), American novelist and short story writer Sara Caldwell (born Sara Coover 1961), American screenwriter, daughter of Robert