A brushless AC generator is mounted on a vehicle such as a truck, a farming vehicle or a construction vehicle. The generator is composed of a housing, stator fixedly contained in the housing, a rotor, for supplying a magnetic field to the stator, rotatably supported in the stator, and other associated components including a voltage regulator and a rectifier. The housing is composed of a front housing and a rear housing. An outside fan is connected to a rotor shaft and disposed at a front side. Cooling air is introduced into the generator by the outside fan through windows formed in the rear housing. A fringe surface of the window facing a shoulder portion of the rotor is sloped, so that the cooling air is smoothly introduced along the sloped surface thereby to improve cooling efficiency.