A motorcycle comprising: a body frame including a head pipe; an engine attached to the body frame; a radiator arranged in front of the engine, wherein the radiator is adapted to permit a cooling liquid to flow therethrough in the vehicle width direction between first and second end portions of the radiator; a first piping connecting the first end portion of the radiator to the engine; and a second piping connecting the second end portion of the radiator to the engine, wherein the second piping extends in the vehicle width direction between the radiator and the engine and across the centre line of the head pipe; the first piping transfers cooling liquid cooled in the radiator to the engine, and the second piping transfers cooling liquid circulating in the engine to the radiator; wherein in cases where the number of cylinders arranged in the vehicle width direction is 2n, where n is a natural number, the centre line of the engine in the vehicle width direction is an axis passing a centre between a centre axis of an n th cylinder and a centre axis of a (n+1) th cylinder from one side in the vehicle width direction and extending in the front-back direction, and for engines having an odd number of cylinders arranged in the vehicle width direction, the centre line of the engine in the vehicle width direction is an axis passing through a centre axis of a cylinder located at a centre of the engine and extending in the front-back direction; and the engine further includes: a crankcase; and a cylinder member connected to the crankcase, and extending obliquely upward toward a forward direction; and characterized in that a centre line of the engine, in a vehicle width direction is out of alignment with respect to a centre line of the head pipe in the vehicle width direction; and at least a part of a portion of the second piping located between the radiator and the engine overlaps with the cylinder member in a plan view. a body frame including a head pipe; an engine attached to the body frame; a radiator arranged in front of the engine, wherein the radiator is adapted to permit a cooling liquid to flow therethrough in the vehicle width direction between first and second end portions of the radiator; a first piping connecting the first end portion of the radiator to the engine; and a second piping connecting the second end portion of the radiator to the engine, wherein the second piping extends in the vehicle width direction between the radiator and the engine and across the centre line of the head pipe; the first piping transfers cooling liquid cooled in the radiator to the engine, and the second piping transfers cooling liquid circulating in the engine to the radiator; wherein in cases where the number of cylinders arranged in the vehicle width direction is 2n, where n is a natural number, the centre line of the engine in the vehicle width direction is an axis passing a centre between a centre axis of an n th cylinder and a centre axis of a (n+1) th cylinder from one side in the vehicle width direction and extending in the front-back direction, and for engines having an odd number of cylinders arranged in the vehicle width direction, the centre line of the engine in the vehicle width direction is an axis passing through a centre axis of a cylinder located at a centre of the engine and extending in the front-back direction; and the engine further includes: a crankcase; and a cylinder member connected to the crankcase, and extending obliquely upward toward a forward direction; and characterized in that a centre line of the engine, in a vehicle width direction is out of alignment with respect to a centre line of the head pipe in the vehicle width direction; and at least a part of a portion of the second piping located between the radiator and the engine overlaps with the cylinder member in a plan view. a crankcase; and a cylinder member connected to the crankcase, and extending obliquely upward toward a forward direction; and characterized in that a centre line of the engine, in a vehicle width direction is out of alignment with respect to a centre line of the head pipe in the vehicle width direction; and at least a part of a portion of the second piping located between the radiator and the engine overlaps with the cylinder member in a plan view.