Leston is both a surname and a given name. Notable people with the name include:
Surname Dennis Leston (1917–1981), English entomologist Les Leston (1920–2012), British racing driver
Given name Leston Havens (1924–2011), American psychiatrist, psychotherapist and medical educator Leston Júnior (born 1978), Brazilian football manager Leston Paul (born 1990), Trinidad and Tobago footballer