The tournament is organized by the Hellenic Basketball Federation (HBF), which is a member of FIBA Europe.

To date, there have been 32 official Acropolis Tournaments that have been organized by the Hellenic Basketball Federation, plus the unofficial special edition 1991 FIBA Centennial Jubilee.

The 1991 FIBA Centennial Jubilee was the special edition tournament that was organized jointly by FIBA Europe and the Hellenic Basketball Federation to commemorate the 100 year anniversary of the sport of basketball.

It is not counted officially with the other 32 Acropolis International Tournaments because it was not solely organized by the Hellenic Basketball Federation.

It was contested by France, Greece, Italy, Yugoslavia, Spain, and the Soviet Union.