Nicknamed "Generalen" (the General),[1] the defender obtained a total 22 caps for the Danish national team, for which he scored twelve goals in the late 1960s and early 1970s.

Born in Copenhagen, Bjerre started playing football with local clubs Boldklubben Sylvia and Akademisk Boldklub (AB).

He helped AB win the 1967 Danish football championship, and made his national team debut in May 1967.

In early 1968, he moved abroad to play professionally for American team Houston Stars in the NASL championship.

[6] He was a part of the Molenbeek team that reached the semi-finals of the European 1977 UEFA Cup tournament, before retiring at the end of that season.