A control device-integrated rotary electric machine that has a light weight and a small radial-direction dimension. A cylindrical member is provided between a stator formed by stacking electromagnetic steel sheets and a frame retaining the stator, such that the cylindrical member is in a press-fitted state against the stator and the frame. The cylindrical member has a flange portion at one end thereof, and the flange portion is fixed by being held between the frame and a heat sink which is a member composing a control device.