Together with Werner Heine and Martin Skaba, he became one of the players that would come to shape the team of SC Dynamo Berlin in the late 1950s and who did not belong to the generation of players transferred from SG Dynamo Dresden. Mülbächer won the 1959 FDGB-Pokal with SC Dynamo Berlin.
Mühlbächer ended his football career with BFC Dynamo after the 1967-68 season. He played 218 matches and scored 31 goals in total in the DDR-Oberliga for SC Dynamo Berlin and BFC Dynamo between 1956 and 1968.[6]