Dynamo won seven Soviet Championships between 1955 and 1962, and in 1964 it played in the then new European Champions Cup, ranking second behind Partizan.

[1] In 1968 and 1969 the team won two more national championships, and it also reached the 1969 European Cup's final, lost to Mladost.

[2] For the next fifteen years Dynamo didn't win any more titles; its best results in the Soviet Championship were 2nd and 3rd positions in three occasions each.

In 1986 it defended the national title and won its second Soviet Cup to attain its first national double, and in 1987 it won its third championship in a row and reached the European Cup's final, lost this time to Spandau 04.

Dynamo subsequently won three of the last four editions of the Soviet Cup, while ranking second to CSKA Moscow in the league.