A snow removing machine has a frame, a pair of transporting devices mounted on the frame for transporting the snow removing machine on a ground surface, an auger housing having an auger housed therein and mounted on the frame for undergoing rolling movement, a rolling drive mechanism coupled to the auger housing for providing rolling movement of the auger housing relative to the frame, and a turning mechanism operable to turn the snow removing machine in a preselected direction. In response to operation of the turning mechanism, a control section performs a control operation to drive the transporting devices to thereby turn the snow removing machine in the preselected direction and performs a control operation of the rolling drive mechanism to provide rolling movement of the auger housing relative to the frame.