The convincing win against the Workers (100: 65) recorded 20 points, the Star won another title in the series.
In the 1955 championship at the meeting of 14 he enrolled 163 points (11.6 per game), Zvezda won 10 consecutive title, a Bjegojević its ninth.
According to the newspaper Politika of Belgrade in 1955, during those first 10 years in the club Milan Bjegojević was the second leading scorer counting all matches (rounds, friendly, magazines and the tournament) with 3041 points.
The popular "Musa" in this period he played 360 matches, making it the third in the first decade of the Red Star.
In the only win of the tournament against Peru (86–84) recorded 20 points and free throws without a miss a shot (8-8).
He led the club for 11 seasons, from 1959-60 to 1969-70 and won the championship in 1969 with the second great generation of Zvezda in which they played stars like Vladimir Cvetković, Dragan Kapičić, Ljubodrag Simonović, Dragiša Vučinić, Miroslav Todosijević, Tihomir Pavlović and of course Moka Slavnić.