She received her license on June 10, 2008, for her hometown club Gölcükspor. Berber played three seasons, capped 46 times and scored two goals for Gölcükspor in the Turkish Women's Second Football League. In the 2011–12 season, she transferred to Derince Belediyespor. At the end of the season, she enjoyed her team's promotion to the Women's First League.[1]
She was transferred by the Second League-team 1207 Antalyaspor following her club's withdraw from the league in the 2014–15 season.[2] She enjoyed league championship with 1207 Antalyaspor and promotion to the Women's First League.[3]
Kübra Berber appeared twice in the TurKey girls' national U-15 team and capped 14 times for the Turkey U-17 before she was called up for the Turkey U-19.[1][5][6][7]