The invention discloses a numerical control tooth grinding machine with a slotting function. The numerical control tooth grinding machine comprises a box body, a concave base is fixedly installed at the bottom of the box body, a translation mechanism is installed inside the box body, and an abrasion wheel box of which the bottom is communicated with the outside is installed on the translation mechanism. The numerical control tooth grinding machine has the advantages of being simple in structure and easy to operate, saw webs can move up and down, thus errors generated in the traditional machining mode are reduced to guarantee the uniformity of the size of sawteeth, the tooth bottoms of the saw webs can be immediately slotted after tooth grinding on the saw webs is finished, extra detachmentis omitted, the working efficiency is improved, and the cost is reduced; the jetting angle and the jetting position of cooling liquid can be adjusted, and machining of the saw webs with different models can be better adapted to; and moreover, the cooling liquid can be recycled, extra cost is reduced, during machining, smoke can be quickly and timely absorbed and discharged after being diluted, subsequent treatment is facilitated, blockage on the device caused by the oil is also avoided, and the numerical control tooth grinding machine is simple, efficient, rapid and convenient.