A vertical-edge double-step sawtooth cutter for preparing high-quality holes of composite material and hybrid stack structure thereof, comprising three parts which are a major cutting edge region, a minor cutting edge region and a shank region, wherein the minor cutting edge region comprises a step vertical-edge region and a sawtooth cutting region; wherein a major cutting edge of the major cutting edge region partially thins an initial cutting face to obtain a second cutting face; wherein the initial cutting face and the second cutting face form a double-vertex angle structure, wherein a first vertex angle n 1 is 100° to 106° and a second vertex angle n 2 is 90° to 95°; wherein a double-step structure is distributed on the minor cutting edge region; wherein a first step is near a point side and a second step is near a shank side; wherein the minor cutting edge region has two chip grooves and forms two minor cutting edges; wherein a helix rake angle γ 1 of the minor cutting edges is 14° to 16°; wherein the width c of the chip grooves is 0.6-0.8 time of a first step diameter d of the cutter; wherein margin width a of a vertical chip breaking edge and margin width b of the minor cutting edges are 1-1.5 mm, and the margin width a of the vertical chip breaking edge is larger than the margin width b of the minor cutting edges; wherein the step vertical-edge region adopts a double-step negative-step angle structure, and an included angle n 3 between a second step major cutting edge and a cutter axis is larger than 90°; wherein a vertical chip breaking edge is thinned on each minor cutting edge; wherein the axial length e of the vertical chip breaking edge is at least 2 times of feed per tooth of the cutter; wherein a helix rake angle γ 2 of the vertical chip breaking edge is 13° to 15°; wherein the sawtooth cutting region is located between the step vertical-edge region and the major cutting edge region and is composed of a plurality of sawteeth and tooth spaces which are distributed on a drill cutting edge; wherein the sawteeth and the tooth spaces are spiral around a drill axis; wherein a helix angle β of the sawtooth is an acute angle larger than 60°; wherein upper edges of the sawtooth are used as the cutting edges, and the upper edges of the sawteeth are thinned to form a rake angle; wherein the width W g of the tooth spaces of the sawteeth is not less than the thickness of two layers of prepreg of processed fiber-reinforced material and is at least 0.3 mm; wherein the tooth width W t of the sawteeth is at least 0.5 mm; wherein the depth D t of the tooth spaces is at least 0.8 mm; and wherein the sum of twice the depth D t of the tooth spaces and the thickness of a drill core is less than the diameter d of the cutter in this position in order to achieve the purpose of shear machining of the sawteeth without affecting the stiffness of the drill core. wherein a major cutting edge of the major cutting edge region partially thins an initial cutting face to obtain a second cutting face; wherein the initial cutting face and the second cutting face form a double-vertex angle structure, wherein a first vertex angle n 1 is 100° to 106° and a second vertex angle n 2 is 90° to 95°; wherein a double-step structure is distributed on the minor cutting edge region; wherein a first step is near a point side and a second step is near a shank side; wherein the minor cutting edge region has two chip grooves and forms two minor cutting edges; wherein a helix rake angle γ 1 of the minor cutting edges is 14° to 16°; wherein the width c of the chip grooves is 0.6-0.8 time of a first step diameter d of the cutter; wherein margin width a of a vertical chip breaking edge and margin width b of the minor cutting edges are 1-1.5 mm, and the margin width a of the vertical chip breaking edge is larger than the margin width b of the minor cutting edges; wherein the step vertical-edge region adopts a double-step negative-step angle structure, and an included angle n 3 between a second step major cutting edge and a cutter axis is larger than 90°; wherein a vertical chip breaking edge is thinned on each minor cutting edge; wherein the axial length e of the vertical chip breaking edge is at least 2 times of feed per tooth of the cutter; wherein a helix rake angle γ 2 of the vertical chip breaking edge is 13° to 15°; wherein the sawtooth cutting region is located between the step vertical-edge region and the major cutting edge region and is composed of a plurality of sawteeth and tooth spaces which are distributed on a drill cutting edge; wherein the sawteeth and the tooth spaces are spiral around a drill axis; wherein a helix angle β of the sawtooth is an acute angle larger than 60°; wherein upper edges of the sawtooth are used as the cutting edges, and the upper edges of the sawteeth are thinned to form a rake angle; wherein the width W g of the tooth spaces of the sawteeth is not less than the thickness of two layers of prepreg of processed fiber-reinforced material and is at least 0.3 mm; wherein the tooth width W t of the sawteeth is at least 0.5 mm; wherein the depth D t of the tooth spaces is at least 0.8 mm; and wherein the sum of twice the depth D t of the tooth spaces and the thickness of a drill core is less than the diameter d of the cutter in this position in order to achieve the purpose of shear machining of the sawteeth without affecting the stiffness of the drill core.