A corn-shelling machine has a front head and a rear auger to collect and channel the cobs after shelling. The front head has at least one sheller roller fitted with blades to pull a stalk of a corn on the plant downwards. Sheller plates are positioned above the sheller roller, on the side opposite the ground. The sheller plates have an upper wall, opposite the ground and suitable to receive the cobs upon threshing and to retain them during the shelling phase. A blower generates a flow of air to channel the kernels of corn, removed from the cobs during shelling, towards the rear auger. The air flow is directed from the front head of the machine towards the rear auger.