A stabilization system (32) used with a crop harvesting header (10) includes a frame (14) carrying a belt (22) to deliver a crop to the header (10). The frame (14) is independently movable between a first angle (48) between the frame (14) and the header (10) and a second angle (58) between the frame and the header. A member (68) has an inside surface (70) connectable in substantially non-rotational contact to a first structure of one of the frame (14) or the header (10), and an outside surface (72) connectable in substantially non-rotational contact to a second structure of the other of the frame (14) or the header (10). In response to rotational movement of the first structure in substantially non-rotational contact with the inside surface (70), rotational movement of the first structure occurring with respect to the second structure in substantially non-rotational contact with the outside surface (72), the member (68) provides a stabilizing torsional force between the frame (14) and the header (10) between the first and second angles (48, 58).
