Abstract: Based on indentation theory and elasto-plastic finite element analysis (EPFEA) with contact elements,the constitutive relationship based on energy method of indentation (CR-EMI) is obtained by the indentation test of a cone indenter of 70.3 degrees.The new method revealed a linear relationship between the energy ratios of the indentation process and the yield stress in Hollomon model.Based on the linear relationship and P-h curve,the parameters in Hollomon model can be directly obtained with the new method.Obviously,the Brinell hardness based on energy method of indentation (H-EMI) can be predicted by using the Hollomon parameters.The availability and accuracy of CR-EMI method and H-EMI method are proved by the test results and finite element analyses of different metals.