Ančić () is a Croatian family name that may refer to:
Ivan Ančić (1624–1685), theological writer Ivica Ančić (born 1979), professional male tennis player, brother of Mario and Sanja Mario Ančić (born 1984), professional male tennis player, brother of Ivica and Sanja Sanja Ančić (born 1988), professional female tennis player, sister of Ivica and Mario
See also ANCIC (organization), French NGO that provides advice and support to women on contraception and abortion