Winter boots and shoes can be equipped with a removable traction attachment that facilitates easy non-slip motion on ice, snow, dirt, gravel, etc. The traction attachment can include an elastomeric panel fitting the sole of the boot or shoe, an integral front strap system fitting over the toe of the boot, and an integral rear strap system fitting snugly on the heel of the boot. The panel and strap systems have controlled elasticity, so that a given size attachment can fit a range of different size boots or shoes. Replaceable metal cleats are carried on downwardly protruding sections of the elastomeric panel, to provide traction assistance.