An inverter-integrated electrical rotating machine is provided in which each switching device of an inverter and power wiring and control wiring for connecting them can be highly protected electrically and mechanically while the cooling property of the switching devices can be improved. Cooling air flows led in from cooling air flow suction holes in an end wall of an inverter case simultaneously flow in parallel from the cooling air flow suction holes on inner and outer sides in the radial direction. The cooling air flows then penetrate an inverter device in an axial direction through an outer circumferential cooling air passage formed by an outer circumferential lateral plate part and an inner circumference of the inverter case and an inner circumferential cooling air passage formed between an inner circumferential lateral plate part and a cover surrounding a rotary shaft. The cooling air flows are then led into a motor housing from a cooling air flow suction hole of the housing.