A perfected device for walking on snow or ice consisting of platforms (1) that are fitted on the upper face of the rackets (20) and have a swivel mechanism (6) formed by a spherical or similar piece equipped with axles (22) at the heel end. At the bottom of the platforms (1), they also have housings (24), spikes (8), rackets (20) and, at the heel end, semi-cylindrical parts (23) and (23') equipped with fastening elements (10) and (10').