Devices to shift the stops (8) of rail vehicle bodies or coaches with bogies on curves and rail vehicle body with bogies. The devices are provided in an interior cavity of the frame of the bogies whose lateral edges each have a separate stop (9, 10) and that houses a lower projecting part (4) of the body. In one embodiment, on the front edge of the interior cavity of the frame (1) of the bogie, there is a pair of joints (11) from each of which a rod (5, 6) leads backwards and each of these is joined to a separate slider (7) by means of joints. The sliders (7) are able to move on guides located on the respective lateral surfaces of the lower projecting part (4) of the body, and the sliders (7) are wedge shaped with a guide located on their surface in the form of an inclined plane. The stops (8) of the body are coupled, at their respective inside surfaces, to the guides located on the respective sliders (7); the stops (8) of the body are joined together by transversal connection means (15).