Abstract: A simplified design method of auxetic elliptical porous material was pointed out with major/minor axis ratio and semi-minor axis length of ellipse, and initial cell edge length as design parameters. The mathematical model between Possion's ratio of the material and the design parameters was established by geometric relation, and the mathematical model between elastic moduli and design parameters was established on basis of Gibson-Ashby model. The Possion's ratio mathematical model of auxetic elliptical porous AlSi10Mg alloy prepared by selective laser melting technique was verified by quasi-static compressing experiments, and the constant C of the elastic moduli mathematical model was also determined. The results show that the Possion's ratios of auxetic elliptical porous AlSi10Mg alloy calculated by the mathematical model of Possion's ratio and design parameters were consistent with the test results, and the relative error was 10%-15%. The ratio of major/minor axis, semi-minor axis length were negatively correlated with Posssion's ratio, and the initial cell edge length was postively correlated with Possion's ratio. The constant C of the elastic moduli mathematical model of auxetic elliptical porous AlSi10Mg alloy obtained by calculation was about 4.123.