We present a multipath channel impulse response model for 60 GHz indoor wireless systems. During the propagation, the electromagnetic wave is reflected on various objects present in the environment. On each object, the impacts of the reflections contributing to the received signal form clusters whose size depends on the nature of the object and on its orientation. By considering the physical mechanism responsible for indoor propagation and also the methodology of measurement, we show that our statistical channel impulse response model fits our measurements well, that the Rayleigh model is a special case, and that our model can be extended to any kind of room.