Previous mechanical analytical theories of superplastic bulge into a shaped die are all based on uniform thinning assumption, but in fact, the thinning process is obviously non-uniform. In this paper, the non-uniform thinning mechanical analytical equations of superplastic bulge in a cylindrical die based on superplastic bulge constitutive equation with variable m are established and verified by experiments performed on typical superplastic material ZnAl4Cu alloy sheet. Experimental results show that the non-uniform thinning mechanical analytical model can reflect the deformation process of bulging in a cylindrical die. Previous mechanical analytical theories of superplastic bulge into a shaped die are all based on uniform thinning assumption, but in fact, the thinning process is obviously non-uniform. In this paper, the non-uniform thinning mechanical analytical equations of superplastic bulge in a cylindrical die based on superplastic bulge constitutive equation with variable m are established and verified by experiments performed on typical superplastic material ZnAl4Cu alloy sheet. Experimental results show that the non-uniform thinning mechanical analytical model can reflect the deformation process of bulging in a cylindrical die.