Kosta \k(o)-sta, kos-ta\ as a girl's name is a variant of Constance (Latin) and Konstanze (German), and the meaning of Kosta is "constancy, steadfastness".
The baby name Kosta sounds like Kostya and Gusta. Other similar baby names are Kosma, Nesta, Asta, Kata, Kasya, Kaska, Kasja, Krysta, Krista, Cosma, Esta, Justa, Rosita and Vesta.