A latching system (1) has a housing (3) provided with a recess (5) in which a part of the bicycle can be inserted, preferably a frame tube sloping upwards. In the housing (3) a latching element (7) is located which can be moved between a release position in which the latching element opens the recess and a latching position in which the latching element closes the recess. The latching system (1) further comprises a key (19) that is positioned in an opening (21) in the housing (3) and is pushed out of the housing when the latching element is moved from the latching position to the release position. To this end the latching element (7) is equipped with an arm (23) which is fitted to the U-shaped part of the housing. When the latching element (7) turns to the release position, one end (25) of the arm (23) pushes against the key (19) causing it it be pushed out of the opening (21).