There were three separated cup competitions, organized on ethnical principles. In 1998, joint final rounds were organized for the first time, and in 2001, clubs from Republika Srpska took part. Since the 2001–02 season, it is a regular cup competition.
In December 2018, the Basketball Federation of Bosnia and Herzegovina changed the name of the cup to the Mirza Delibašić Cup in honor of Mirza Delibašić.[1][2][3]