A straddle-type rough-road running vehicle includes a vehicle body frame supporting front and rear wheels, an engine unit mounted to the vehicle body frame and including an engine body and a power transmission case, a straddle type driver's seat, an intake control unit for controlling an air/fuel ratio, and an air-cleaner case for supplying a clean air to the intake control unit. The intake control unit and the air-cleaner case are connected to each other, and the air-cleaner case is disposed above the power transmission case. An engine mounting portion is formed in a frame shape opened such that the engine unit is surrounded from a vertical direction and a longitudinal direction. The engine body, the power transmission case, the intake control unit, and the air-cleaner case are disposed in an arrangement offset from the engine mounting portion in a side view.