Baverstock is a surname. Notable people with the name include:

Bert Baverstock (1883–1951), English footballer Donald Baverstock (1924–95), British TV producer and executive Garry Baverstock (born 1949), Australian architect, property developer, author and scientist Gillian Baverstock (1931–2007), English author Ray Baverstock (born 1963), English footballer and manager

See also Baverstock The Baverstock Academy