The club was an early power in the Yugoslav League with Ivo Daneu leading Olimpija to six domestic titles between 1957 and 1970.

Olimpija won the FIBA Saporta Cup in the 1993–94 season, and Arriel McDonald and Marko Milič helped it to the 1997 Euroleague Final Four.

Over the years, Olimpija had a streak of 17 straight EuroLeague appearances and it won the inaugural Adriatic League in the 2001–02 season.

A year later, Cedevita won its first title, the Croatian Cup, led by veteran forward Matjaž Smodiš.

[12] Next to players added from Cedevita and Petrol Olimpija rosters, the club signed veterans Mirko Mulalić, Saša Zagorac, and Marko Simonović, as well as Martin Krampelj, Mikael Hopkins, Jaka Blažič, Codi Miller-McIntyre, and Ryan Boatright.

In EuroCup, Olimpija participated in Group C and finished in sixth place, before the competition was cancelled in the playoffs due to the COVID-19 pandemic.

[20] At the beginning of the season, the club won its first trophy since the merger as they beat Krka in the Slovenian Supercup.

The crest consists of a green dragon, one of the symbols of the city of Ljubljana, and a capital letter 'C' in orange, which stands for Cedevita.

Cedevita Olimpija play their home games at Arena Stožice, often referred to as Zmajevo gnezdo (Dragon's Nest) in Slovenian media.

[25][26] It was opened in August 2010 after fourteen months of construction and is part of the Stožice Sports Park complex.

[27] Occasionally, Cedevita Olimpija play their home games at the Tivoli Hall, which has a capacity of 4,500.