According to the processing method and the principle of Gleason HGT hypoid gear,the theoretical tooth surface equation and the fillet surface equation of the gear were deduced based on the cradle machine.On this basis the three-dimensional model of the gear pair was established,the loaded tooth contact analysis was done,and the contact pattern,transmission error curve and load distribution factor of the gear pair were gotten in the simulation of real working condition.Then the correctness of the theory was validated through cutting test.The simulation and experiment results showed that the contact ratio of the gears is large,and the transmission is smooth.When the torque loaded on the gear is more than a certain value of 500 N·m the edge contact will appear.The study provided a reliable precondition for strength analysis and vibration analysis of the gear pair.