The invention discloses a circular arc bevel gear tooth surface design method based on spherical tooth profiles of different tooth profile angles, relates to a gear, and provides a circular arc bevel gear with the different tooth profile angles to improve the performance of the circular arc bevel gear for gear transmission mechanisms such as vehicles taking one-way transmission as main transmission. A driving surface of the gear is provided with large tooth profile angles, a non-driving surface of the gear is provided with small tooth profile angles, the bearing capacity of the gear in a driving direction is enlarged, sharpening of tooth crests is avoided, the bearing capacity, the fatigue life and the output torque of the circular arc bevel gear can be effectively improved, and transmission vibration and noise are reduced. A driving side and a non-driving side of the circular arc bevel gear with the different tooth profile angles have different gear parameters such as a basal cone, a tip cone and a root cone, geometrical characteristics and a design method of the circular arc bevel gear are completely different from those of a traditional circular arc bevel gear, so that the design method of the circular arc bevel gear based on the spherical tooth profiles of the different tooth profile angles needs to be built, and the design method lays the foundation for design, machining and manufacturing of cutters and computation of tooth root bending fatigue strength and tooth surface contact fatigue strength.