Abstract. The wedge-raceway contact mechanical model, considering centrifugal force of wedge and the eccentricity of the inner ring and the outer ring of the one-way clutch, is established based on Hertz contact theory. The normal contact stiffness of the sprag one-way clutch is calculated by Newton iterative method.The influence of the structure parameters including the eccentricity of the inner ring and the outer ring, labeled as e, the number of the sprags, labeled as Z, the difference of the radius between the inner race of the outer ring and the outer race of the inner ring, labeled as J, and the working condition of the clutch including the working torque labeled as T and the working speed labeled as n, to the contact stiffness of the clutch has been analyzed. The results show that the smaller e, the smaller J, the much more number of Z and the higher torque T will result the bigger stiffness, and the influence of the working speed labeled as n can be negligible.