Falke is the German word for falcon, with the animal being depicted in the Coats of arms of Markt Schwaben.

[1] 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.

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.