In an intake system of an engine of a vehicle, an intake duct includes a horizontal portion having a front end and a rear end in the front-rear direction of the vehicle and located to extend in the front-rare direction of the vehicle to be opposite to a top face of a battery, and a vertical portion extending curvedly from the front end of the horizontal portion and extending downward in a height direction of the vehicle along a front face of the battery. The vertical portion is formed with an air intake at a bottom thereof in the height direction of the vehicle. The air intake is located at a front side of the battery in the front-rear direction of the vehicle to be higher in the height direction of the vehicle than a bottom edge of the front face of the battery. An opening of the air intake is directed downward in the height direction of the vehicle.