Caress \c(a)-re-ss\ as a girl's name is a variant of Caresse (French), and the meaning of Caress is "tender touch". The baby name Caress sounds like Caressa, Caresa and Karess. Other similar baby names are Careen, Carressa, Carey, Carena, Caren, Carissa, Carisa, Caris, Carlis, Carmesa, Carely, Carel, Caree, Carys, Cass, Ceres, Cerese, Sarese, Charese, Charesa, Carisse, Claressa, Claresa, Corless, Cressa, Aeress, Karessa, Maressa and Taresa. View a list of the 2 names that reference Caress.