Beevers is an English surname. Notable people with this name include:
Ben Beevers, English rugby playerC. Arnold Beevers (1908–2001), British crystallographerGeoffrey Beevers (born 1941), British actorHarry Beevers (1924–2004), American plant physiologistJames Beevers (born 1979), British fencerJoe Beevers (born 1967), English poker playerLee Beevers (born 1983), British footballerMark Beevers (born 1989), English footballer who plays defenderMartin Beevers (born 1946), British fencer