Acha (also Achá) can be both a given name and surname. Notable people with the name include:
As a given name Acha (archbishop of Esztergom) (11th century), Hungarian prelate Acha of Deira (6th–7th century), Anglian princess Acha Septriasa (born 1989), Indonesian actress and singer Lady Acha no Tsubone (1555–1637), Japanese noblewoman and diplomat
As a surname Alberto Achá (1917–1965), Bolivian football defender Alexander Acha (born 1985), Mexican singer-songwriter Alejandro Acha (1878–1917), Spanish footballer Eduardo de Acha (1878–1928), Spanish soldier and footballer José Aguirre de Achá (born 1877), Bolivian writer, politician and lawyer José María Acha (1889–1929), Spanish footballer and lawyer José María de Achá (1810–1868), Bolivian military general and president of Bolivia Mariano Acha (1799–1841), soldier who fought in the Argentine Civil War Omar Acha (born 1971), Argentine historian and political essayist Pablo Acha (born 1996), Spanish archer Desi Arnaz (1917–1986), full name Desiderio Alberto Arnaz y de Acha III, a Cuban-American actor, musician, producer, and bandleader