An indentation method to determine equi-biaxial residual stress is proposed by examining the data from the incremental plasticity theory based finite element analyses. We first select optimal normalized-parameters, which are minimally affected by indentation depth and material properties. Numerical linear regressions of obtained data exhibit that maximum load and contact area of imprint are the main parameters measuring the residual stress. The proposed indentation approach provides a substantial enhancement in accuracy compared with the prior methods.