A stowage system (14) is provided for stowing a two-wheeled vehicle (30) in a motor vehicle (12), having a loading floor (16) for depositing the two-wheeled vehicle (30), and a lifting device (20) which can be supported on a load-bearing structure (22) of the motor vehicle (12) for moving the loading floor (16) between a loading position and a stowing position. The loading floor (16) has at least one three-dimensionally shaped first centring means (26) for positioning the two-wheeled vehicle (30) at least in a first coordinate direction relative to the loading floor (16). A two-wheeled vehicle (30) can be stowed in a space-saving manner and protected against damage by of the loading floor (16) which can be lowered and the at least one centring means (26).