Rolling 304 stainless steel tube by Pilger pipe mill-LG60 was taken as example to establish and verify cold rolled stainless steel tube spring back prediction model.Firstly,on the basis of uniaxial tensile test,the piecewise nonlinear constitutive equation was gained by dealing the data.Secondly,according to the plastic deformation law of the steel tube rolling and incremental theory,the numerical method of every strain component during the deformation was gained and the stress state was changed from triaxial stress state to uniaxial stress state.Besides,the springback prediction model was established according to the law of material’s unloading.Finally,by using the finite element software of DEFORM-3D,the complete simulation of rolling process was conducted,and the reliability and correctness of the springback prediction model were verified through the actual rolling test by Pilger pipe mill.The results showed higher accuracy of the model.