They won the title in 1950 (by defeating Örebro in the final),[2] 1955, 1959, 1960 and 1962 (by winning the league).

[3] They were relegated from the top level in 1965 and did not return until 1974.

[3] In 1980, Heim reached the semifinals of the Cup Winners' Cup, where they lost to Spanish club CB Calpisa.

Heim Mölndal briefly played in the top division from 2005 to 2007.

[3] In 2009, Mölndal HF was re-founded as a separate club and Heim ceased to exist.