Abstract: The GM yield criterion was first applied to analyzing the limit loads of thin-walled cylinder and spherical shell subjected to internal pressure, and the analytical solutions were obtained. The limit loads for both cylinder and spherical shell are the functions of the thickness, diameter as well as the yield strength of the material. The limit loads increase with the increasing of the yield strength and the thickness, and the decreasing of the diameter. Compared with Mises, Tresca and TSS criteria, the solution of GM criterion lies just between the TSS and Tresca solutions, and it is close to Mises solution and just corresponds to the midline of the error triangle. The limit load based on GM criterion increases linearly with the ratio of thinness to diameter.