The invention discloses a gear shaving and planing machine used for solving the difficult problems caused during mechanical shaving, planing and peeling of hollow arc-shaped materials. The gear shaving and planing machine adopts the following technical scheme that 1, a driving gear is in a shape of a long drum; 2, tooth blades are arranged on a gear surface and are inserted into a material body to push the material across a planing cutter; 3, the gear surface has the effects of providing a base for the tooth blades and grinding materials in irregular shapes and different thickness to obtain smooth materials; 4, a wall panel of a material opening is an involute curved surface, and the distance between the wall panel and the gear surface as well as the distance between the wall panel and the tooth blades becomes smaller gradually, so that the impetus and resistance applied to the materials by the tooth blades synchronously increase gradually; and 5, an elastic layer or springs or joints which are arranged spring and release the processed materials. The materials enter the material opening and the tooth blades pierce the materials, so that the materials are drawn in and pushed back; the bottommost part of the material opening is supported by a platform, so that the materials are ground by the platform, the elastic layer and the gear surface to reach a straight state when passing through the tip of the planing cutter; the materials which are ground to reach the straight state pass through the planing cutter and are planed by the planing into two parts of which the thickness meets requirements; the upper part of the materials and the lower part of the materials are respectively discharged from two outlets; and repulsion or release of the elastic layer or the springs prevents the materials from jamming between the tooth blades, so that the processing course is continuously performed.