A training bicycle, including a first frame (1, 36) configured to be supported on a floor, a second frame (2, 37) connected to the first frame, the second frame including an axle (4) allowing the second frame to tilt relative to the first frame along an axis in the longitudinal direction of the training apparatus, a handlebar (12, 35, 77, 90) connected to the upper end of a steering shaft (11, 76), the steering shaft being rotationally connected to the second frame, a crank (26, 110) connected to the second frame, and a first flywheel (22, 41, 56, 167, 193) rotationally connected to the lower end of said steering shaft with means for transferring movement from the crank to the first flywheel.