A tool connected to a traction chain or another traction device serves as an extension/guide for leading and pulling the chain onto a tire. An elongated belt of the tool is placed around the tire tread and attached to the leading end of the chain. As the vehicle is moved a short distance, friction between the tire and belt (and capture of the belt between the tire and the ground/road) draw the belt and hence the tire traction chain around the circumference of the tire on which the belt is placed and/or onto adjacent tire(s). A stretcher/expander at another location(s) on the chain fully-expands the chain during installation. The preferred tool is easier to lift and manipulate than the chain and need not be positioned or manipulated in the space behind the tire (away from the user) or in the space between dual tires.