His son Đorđe was also a footballer who played for Red Star Belgrade and FK Mačva Šabac.

On the national level, Aćimović made his debut for Yugoslavia in the first leg of the June 1968 European Championship final against Italy and earned a total of 55 caps, scoring 3 goals.

[1] He also was a participant at the 1974 FIFA World Cup[2] and his final international was the June 1976 European Championship third-place playoff against the Netherlands.

[3] Aćimović on his team's role at the UEFA Euro 1976: "Two things factored in our final result.

First of all, the score of the first half of the match with Germany and then the fact that we, as hosts of the tournament, were prevented from our plans of showing what we were made of.