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To improve the machining accuracy of the free-form surface in multi-axis NC machining,an error compensation method of cutting deformation induced by the cutting forced is studied in this paper.Supposing the cutter is the rigid body and the work piece is flexible body,a new mechanical model based on combined model of rigid and flexible is build to learn about the relationship between the cutting force and deformation error,and the validity of new model is tested by simulation software of ABAQUS.According to the constructed model,the deformation errors of the work piece can be predicted and compensated by testing three cutting forces in the x,y and z directions during the machining process.