In their first top flight championship, SK Kavajë finished last in the 5 team league, losing 7 games and winning just one, a 2–1 victory over local rivals Teuta Durrës.

The vice-chairman was Fehmi Kazazi, its secretary was Dervish Cara, and the committee included members Sulejman Karkini and Reshat Asllani.

During World War II, many members of the club lost their lives as soldiers, including Mehmet Babamusta, Adil Alushi, Sami Karriqi and Millan Radosalja.

But between 1945 and 1950, the club experienced a revival which was due to young talented players coming through the ranks of the youth teams, including the likes of Qamil Teliti who went on to receive national success.

In 1958, the club achieved a second-place finish in the top tier Albanian Championship, narrowly losing out to Partizani Tirana for the title by one point.

[3] The period between 1965 and 1975 has been called the golden generation of football in Kavajë, due to the domestic achievements especially in the Albanian Cup which resulted in the club's first ever European games.

In 2008, they qualified for the Intertoto Cup due to their third-place finish in the league, drawing Ethnikos Achna 0–0 at home and 1–1 in Cyprus and continued on away goals.

The depth of talent emerging from Besa's youth system was evident in the 1956 derby between Dinamo and Partizani, which featured seven players deriving from the club's ranks, including legendary goalkeepers Qemal Vogli and Sulejman Maliqati.