A snow cycle includes a conventional motorcycle chassis having a set of steerable front forks and a rear swing arm, which normally mount front and rear wheels of the cycle, respectively. A snow track module is mounted to the rear swing arm and has an endless track driven by a cog connected to a drive sprocket of the engine by a single chain. At least one and preferably a pair of skis are mounted off the front forks and are pivotable fore and aft as well as tiltable to either side to maintain the ski flat to the ground when the vehicle is tilted to one side or the other when making an aggressive turn.