Asensio is a Spanish given name and surname.

Notable people with the given name include:

Asensio Julià i Alvarracín (1760–1832), Spanish painter and engraver Asensio Nebot "The Friar" (1779 – after 1831), Spanish monk and rebel

Notable people with the surname include:

Ana Asensio (born 1978), Spanish actress and filmmaker Antonio Asensio (1947–2001), Spanish mass media entrepreneur Belén Asensio (born 1976), Spanish female taekwondo practitioner Caridad Asensio (1931–2011), Cuban-American migrant worker advocate Carlos Asensio Cabanillas (1896–1969), Spanish soldier and statesman Charlie Asensio (born 2000), American soccer player/footballer Eloy Guerrero Asensio (born 1962), track and field athlete from Spain Enrique García Asensio (born 1937), Spanish conductor Eugeni Asensio (born 1937), Spanish water polo sports official Florentino Asensio Barroso (1877–1936), Spanish Catholic bishop and martyr Jaime Asensio de la Fuente, commonly known as Asen (born 1978), a Spanish footballer José Asensio Torrado (1892–1961), Spanish general José María Asensio (1829–1905), Spanish historian, journalist, biographer and writer Manola Asensio (born 1943), Swiss ballet dancer Manuel P. Asensio (born 1954), American money manager Marco Asensio (born 1996), Spanish footballer Maria Asensio (born 1955), Spanish-Argentinian physical chemist, academic, researcher, and author Melanio Asensio (1936–2021), Spanish athlete Nicole Laurel Asensio (born 1986), Filipino singer-songwriter Pablo Asensio (born 1973), Argentine footballer Pedro Calvo Asensio (1821–1863), Spanish playwright, journalist and politician

See also Asensi Asencio (surname) San Asensio, municipality and town in the La Rioja autonomous community, northern Spain