An auger snow-removing machine includes a forward rotation shaft and a reverse rotation shaft disposed on the same axis and aligned in a width direction of an auger housing within the auger housing, and a transmission disposed inside the auger housing such that the forward rotation shaft and the reverse rotation shaft are rotated concurrently in opposite directions by a driving force transmitted from the transmission. A case of the transmission is divided into a front case member and a rear case member at a position behind a reverse rotation drive shaft extending in the width direction of the auger housing. The front case member has a first gear unit assembled therein, and the rear case member has a second gear unit assembled therein. The first and second gear units are assembled together when the front and rear case members are assembled together.