Superplasticity of polycrystalline metallic materials is a phenomenon which shows hundreds to thousands of percents of large plastic deformation in axial tensil loading without necking in a steady state of low stress. In this research, the possibility of superplastic deformation in a magnesium alloy (AZ31Mg alloy) was experimentally investigated. In this paper, the details of experimental result as shown and discussed. Moreover, the constitutive equations of Mg alloy are proposed on the basis of the experimental results.