A tire traction apparatus for use on wheels having a rim and a tire where the rim has first and second upstanding, spaced apart side portions on opposite sides thereof, and outer facing braking surfaces thereon and the tire has first and second bead portions which cooperate with the first and second side portions to secure the tire to the rim. The apparatus includes a transversely extending member operable to extend transversely across the tire and includes first and second connecting devices cooperating with the tire for connecting the transversely extending member to opposite sides of the tire without interfering with the outer braking surfaces.