The club was formed in 1930 through the merger of predecessor sides
Ballspiel-Club Markt Schwaben and
Deutsche Jugendkraft Markt Schwaben. In the aftermath of
World War II the club briefly disappeared when occupying Allied authorities banned organizations across the country, including sports and football clubs, as part of the process of
denazification, before being reestablished on 4 November 1945. In 1967, team won its first title and gained promotion to the
Landesliga Bayern-Süd where they played for seven seasons before being sent down.
Falke reappeared in Landesliga (V) play in 2001, having spent the previous nine seasons in the
Bezirksoberliga Oberbayern, and immediately captured the championship there. They moved up to the
Oberliga Bayern (IV) where they played two seasons. After a 17th place Landesliga (VI) finish in 2011, the team slipped to play in the Bezirksoberliga Oberbayern (VII). At the end of the 2011–12 season the club qualified directly for the newly expanded Landesliga after finishing fourth in the Bezirksoberliga. After two seasons in the Landesliga the club was relegated in 2014, opting to withdraw to the tier nine Kreisklasse where its reserve team played rather than to play in the Bezirksliga. After two seasons at Kreisklasse level a league championship in 2015–16 took the club back up to the Kreisliga. ==Honours==