An antiskid chain for a vehicle tire in which the chain comprises a running portion for engaging the tread of the tire and inner and outer ring portions which, when the tire is in mounted position, are at the axially inner and axially outer sides respectively of the tire. All of the portions are divided at one circumferential point of the tire with connectors detachably connecting the opposite ends of the inner and outer ring portions. The inner ring portion is divided at a second point spaced at about 180 degrees from the first mentioned point extending in one circumferential direction between the points is a relatively stiff arcuate member while extending in the other circumferential direction between the points is another flexible member such as a chain. The outer ring portion is connected to the running portion at spaced points and is substantially longer in the circumferential direction in the circumference of the circle on which the spaced points lie in mounted condition of the chain. A longitudinally resilient member engaging the outer ring portion between the spaced points pulls it radially inwardly into a zig-zag shape and holds it taut. Also, disclosed is a method of mounting the chain on a tire.