Method for evaluating an asymmetric residual stress for a material by the indentation test comprises applying the residual stresses with an uniaxial and an symmetrical biaxial tensions on the material and then performing an instrumented indentation test indenting an asymmetric indenter on the material; and comparing a slope of indentation load-depth curve when the long diagonal direction of the asymmetric indenter is perpendicular to the direction of the largest residual stress with that in stress-free state, and then a slope of indentation load-depth curve when the long diagonal direction of the asymmetric indenter is parallel to the direction of the largest residual stress with that in stress-free state, so as to evaluate the asymmetric residual stress for the material.