Progressive cavity pump (PCP), which has problems such as invalid and leakage of rubber bushings, is employed in heavy oil field exploitation. In this paper, based on the thermal aging mechanical test of rubber and the fitting precision evaluation result of the constitutive model, the rubber constitutive model is optimized; the finite element model of PCP is established; the deformation law of stator bushing inner wall is quantitatively analyzed by numerical simulation method; and the phenomenon that temperature field distribution and thermal aging failure of stator rubber bushings is revealed. As results: The increase in well depth, which leads to the increase in the overall temperature of the stator bushing and the decrease of the thermal hysteresis, have greatest influence on the temperature of the stator bushing; the interference, which leads the maximum temperature increases first and then decreases, has a great impact on the thermal hysteresis; and the eccentricity have little effect on the thermal hysteresis of the stator bushing. The research results provide theoretical support to optimize stator and rotor parameter matching, recommending applicable working conditions, improving invalid of stator bushing, pump leakage and other issues.