The present invention is one slotting cutter for double arc harmonic gear. The slotting cutter has the following basic tooth profile parameters: addendum arc radius coefficient of 0.2-0.9, addendum coefficient h*a=0.7-1.2, dedendum coefficient h*f=0.7-1.2, dedendum gap coefficient C*a=0.2-0.3, tooth depth coefficient h*=1.4-2.4, convex tooth profile arc radius coefficient of 1.4-2.0, convex tooth profile center shift coefficient X*a=0-0.5, convex tooth profile center offset coefficient l*a=0.4-1.2, concave tooth profile arc radius coefficient of 1.4-2.0, concave tooth profile center shift coefficient X*f=1.4-2.0, concave tooth profile center offset coefficient l*f=0.4-1.2, technological angle of 6-12 deg, and dedendum arc radius coefficient of 0.1-0.4.