A snow vehicle which is capable of increasing the cooling efficiency of an intercooler thereof by reducing the influence of intense heat from a supercharger thereof, while suppressing the overall height of an engine thereof. An engine hood covers a front part of the body frame from above, and an engine room is formed under the engine hood. A supercharger is disposed in the engine room at a location forward of the engine, and an intercooler is disposed rightwardly of the engine. High-temperature air from the supercharger is cooled by the intercooler and supplied to the engine. An air inlet port is formed through a front left half of the engine hood, for taking in air for cooling the supercharger etc., and another air inlet port is formed through a front right half of the engine hood separately from the air inlet port, for taking in air for cooling mainly the intercooler and a battery.