Asencio is a Spanish surname. Notable people with this name include:
Asencio, or Henry Asencio (born 1972), American painter Diego C. Asencio (1931–2020), American diplomat Fabrice Asencio (1966–2016), French footballer Franco Ascencio (born 1981), Argentine footballer Jairo Asencio (born 1983), Dominican baseball pitcher Laura Asencio (born 1998), French racing cyclist Miguel Asencio (born 1980), Dominican former baseball pitcher Nicolás Asencio (born 1975), Ecuadorian footballer Robert Asencio (born 1963), American politician Raúl Asencio (footballer, born 1998), Spanish footballer Raúl Asencio (footballer, born 2003), Spanish footballer Vicente Asencio (1908–1979), Spanish composer Yeison Asencio (born 1989), Dominican baseball player
See also Asencio River, a river in Chile Asencio Formation, a geological formation in Uruguay Asensio