BK Frem is a Danish football club in Valby part of the capital Copenhagen. The official Danish name of the association is Boldklubben Frem.
The club was founded on July 17, 1886 as Fremskridtsklubbens Cricket Club and changed the name to BK Frem in 1887.
In the early years the club had its home port in Østerbro, Copenhagen. The traditional rivals of the club were when KB and AB Copenhagen. The club was successful mainly between the years 1920 and 1945 when the club was champion six times.