Brissett is a surname. Notable people with the surname include:
Annette Brissett, Jamaican reggae singer Jacoby Brissett (born 1992), American football player Jason Brissett (born 1974), English footballer Oshae Brissett (born 1998), Canadian basketball player Trevor Brissett (1961–2010), English footballer
See also Kenneth Bressett (born 1928), American numismatist