In this period, the biggest success had been the winning of the Cup of the Belgrade liberation in 1958, the victory in the Cup of Yugoslavia in territory of Belgrade football association, and in the same year, the defeat in the final game of Yugoslav Cup for the Serbian territory from FK Borac Čačak. After taking the first in the Belgrade First League in 1971 BASK was promoted to the Serbian League North where it played for most of the later period.