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

Chappell Dossett (1883–1961), British actor J.J. Dossett, American politician from Oklahoma Jo Anna Dossett, American politician from Oklahoma John Dossett (born c. 1958), American actor and singer Martin Dossett (born 1978), American college football player Myron Dossett (born 1961), American politician from Kentucky

See also Dorsett