In 1982, no national championships took place due to the 1982 Amílcar Cabral Cup taking place in Praia's stadium now Estádio da Várzea, they played the first national cup which ended in a loss to São Vicente's CS Mindelense.

Later, they had the first three appearances in the national championships, their first was in 1981 or 1982, their fourth straight was in 1985 where club headed to the finals and lost to Sporting Praia.

Again the club was in Group B in 2007 and Morabeza had only two draws with in the last two weeks with Maio's Académica da Calheta and São Nicolau's Ultramarina.

In 2010, after their second consecutive win for the island, the club had their last national appearance and was placed in Group A for the 2010 season, the first match with Boavista was a scoreless draw in the first round, then Morabeza had their only loss with Marítimo do Porto Novo.

The unexpected came as Morabeza did not play in a final match against Académica, the region awarded 3–0 against the club.

Morabeza started off the 2017–18 regional championship season in mid position, before 2017 ended on December 30, they defeated Académica 0–6 and made it the highest scoring match to date on the island.

Morabeza struggled for a championship title as they defeated Sporting 2–0 at round 13 and got back their first position.

In the 2018 Brava Cup, Morabeza headed to the semis and defeated Juventude da Furna 2–1 and will play in the upcoming final.

Its logo features a seal with white rim, the rose and the leaves with the short form "SCM" on top and inside the circle with the Island of Brava, the club's location.