Abstract: Combined by the principle of power skiving and the theory of homogeneous coordinate transformation, the model of force-induced error for power skiving is established. First of all, the equation of tooth surface with error is generated by the meshing characteristics of the conjugate surface and the meshing principle of two-degree-of-freedom space, and the mapping relationship between the error of force-induced deformation and the normal error of gear tooth profile is established. Through the establishment of the finite element model of the gear workpiece and the calculation model of the contact springback between the tool and the gear, the overall deformation of the gear and the springback deformation of the tooth surface are obtained respectively. Eventually, the numerical calculation method is utilized to study the effect of gear deformation on the accuracy of power skiving. The result of research demonstrates that, compared to the springback deformation of the tooth surface contact, the geometric error of the gear is not sensitive to the overall deformation of the gear. The contact springback of the tooth surface causes the theoretical tooth profile to shift. As the cutting force increases, the amount of contact springback increases significantly, and the normal error of the tooth profile increases. As the contact length between the skiving tool and the gear increases, the tooth profile normal error decreases.