A saddle-ride vehicle includes an engine with a front cylinder extended forward and diagonally upward from a crankcase. The engine is mounted between a front wheel and a rear wheel. A space gradually vertically extended forward is provided between a fuel tank arranged on the upside of the front cylinder and a front head cover provided to an upper part of the front cylinder. A radiator upstream water passage extended backward from an upper part of a radiator is provided in front of the front cylinder and is arranged in the space. The radiator upstream water passage is covered with a front overhead cover attached to the front cylinder. With this configuration, vehicle body components are not exposed, thereby protecting the vehicle body components. In addition, the appearance of the vehicle is efficiently enhanced.