The invention discloses a design method of a hypoid gear pair, aiming at solving the problem of difficulty in designing the hypoid gear pair by using the prior art. The design method of the hypoid gear pair comprises the following steps: 1, taking a plane as a hypoid gear pair transmission forming principle for a big
gear tooth surface; 2, determining the geometric technical parameters of a big
gear tooth surface shape; 3, determining the geometric technical parameters of a small
gear tooth surface shape; and 4, since the gear parameters refers to right-handed rotation of a big gear and left-handed rotation of a small gear, when the big gear is in right-handed rotation and the small gear is in left-handed rotation, dereferencing opposite numbers for the parameters related to the y axle in the parameters. The determination of the geometric technology parameters of the big gear
tooth surface shape comprises the following steps: definition of representing the geometric parameters of the big gear
tooth surface shape, determination of the coordinates of an M point, determination of the component expression formula of a vector shown in the specification, solution of a tooth-shaped unit vector shown in the specification, solution of another tooth-shaped unit vector shown in the specification, solution of the normal vector shown in the specification one
side tooth surface sigma2, determination of the equation of the one
side tooth surface sigma2, determination of the equation of the other
side tooth surface sigma1, determination of the equation of a
tooth surface sigma1theta and formation of the gear teeth of the gear in array.