Cossey is a surname. Notable people with the name include:
Alice Cossey (1879–1970), New Zealand tailer and union leader Caroline Cossey (born 1954), British model and actress Erin Cossey (born 1971), New Zealand Māori former rugby union player Mark Cossey, New Zealand former association football player Reginald 'Mick' Cossey (1935–1986), New Zealand rugby union player Rudi Cossey (born 1961), Belgian football coach and former player
See also Cosseys Reservoir, lake in Auckland Region in New Zealand Costessey, civil parish in Norfolk, England