In 1958, playing in the Yugoslav Championship, OKK Beograd was superior to all great clubs of the time from the former SFRY. Korac and friends defeated Olimpija (105-67), Red Star (67-65), Partizan (104-89), Zadar (111-84)... This winning streak in the domestic competition was finalized in the most beautiful way: the club earned its first state champion’s trophy… All participants in the domestic competition in 1958 understood that the Yugoslav basketball received a new superb club, which should be counted with in the future… istorijat6 OKK Beograd’s international performance in the season 1958/59 was also remarkable. On the way to semi-finals in the European Champions Cup, OKK Beograd eliminated AEK from Athens and the French champions Charleville from Mezieres, only to be defeated in the semi-finals by Akademik from Sofia, with a weaker point difference on the opponent’s court (Belgrade: 79-69; Sofia: 94-77).
In the period 1959-1962, ОКК Beograd recorded major successes. Following a low ranking in the domestic championship in 1959, in the season of 1960, OKK returned to the throne, defeating its opponents more powerfully and compellingly than in the first championship season, winning the state champions title for the second time. In this period, in international competitions, many clubs and national teams, “surrendered” to Zucko and his teammates, at home or on the road:
1960 - national team of Morocco, Lech (Warsaw, Polish champion)
1961 - Simenthal (Milan), Virtus (Bologna), Racing (Paris), Antwerpse (Belgium champion)
In 1962, OKK Beograd underwent changes on the coaching position. Due to obligations in the international basketball organisation, Bora Stankovic handed in the team coach position to Professor Aca Nikolic. Headed by Nikolic, OKK Beograd finished the season as second, losing to Olimpija from Ljubljana in the finals. However, despite this, in 1962, the Belgrade club won a new trophy after defeating Partizan 103-82 - that of the Yugoslav Cup champion.
The years 1963 and 1964 would remain remembered as the most successful in OKK Beograd’s history.
In 1963, Коrac, Erkic, Gordic, М. Nikolic, Т. Rajkovic, Pavelic, Tosic, Lj. Stankovic, Pazmanj, Kosovic, Ivackovic and Gajin “strolled” through the First League defeating all their opponents with an average 25-point- difference, scoring 15 wins and only 3 losses. In the final match, OKK defeated Partizan as well, earning another state champion’s title.
In 1964, Bora Stankovic returned as OKK Beograd’s coach, aiming at defending the championship title from the previous season. In the new season, similarly to the previous one, Korac and his friends were successful playing on their own court as well as on the opponents’ courts all over Yugoslavia. In the matches with OKK Beograd, Red Star, Partizan, Zadar, Slovan, Split, Olimpija, Lokomotiva, Radnicki were all defeated. The end result was the same: 15 wins and three losses, and another Yugoslav champion’s title for the team from Celareva Street.
Following OKK Beograd’s “golden years” (period 1957-1965) the championship team separates. Korac and Gordic leave to Belgium, Nikolic to Turkey, etc. The period without trophies lasted until 1993, when headed by Rajko Zizic, the club from Celareva Str. won the National Cup for the second time in its history.