By considering the notion of MV-algebras, we recall some results on enumeration of MV-algebras and we carry out a study on characterization of MV-algebras of orders 2, 3, 4, 5, 6 and 7. We obtain that there is one non-isomorphic MV-algebra of orders 2, 3, 5 and 7 and two non-isomorphic MV-algebras of orders 4 and 6.