Owing to their superior mechanical properties, functionally graded materials (FGMs) are currently applicable for many tribological systems, which increased the need for a rapid prediction tool of the hardness and wear behavior of these materials. To this end, this paper aims to present empirical equations to predict the residual indentation deformation for the PSZ/NiCrAlY composite FGM that could give a rapid indication on the material hardness and wear rates at dierent indentation loads. The empirical equations were derived for two common gradient laws, power (P-FGM) and sigmoid (S-FGM), based on numerical results obtained and validated with experimental results in this study. The numerical results were obtained by simulating indentation experiments using commer- cial nite element software considering the gradient of all the elastic and plastic material properties. The in uence of the gradient index, gradient law and indentation displace- ment on the force-indentation response, contact pressure distribution, plastic stains, con- tact surface prole evolutions, and the residual indentation deformations were studied. The results showed that contact force and contact pressure were larger for P-FGM than S-FGM for all the gradient indices. The residual indentation deformation is larger for S-FGM than P-FGM for all the gradient indices due to the higher PSZ ceramic phase at the contact area for P-FGM than S-FGM. The residual indentation deformation of the FGM was normalized with respect to its value for the pure matrix based on the nite element results that highlighted the independence of this ratio on the indentation load. Finally, empirical equations were derived to predict the residual indentation deformation for the PSZ/NiCrAlY composite FGM with respect to the gradient index for both the gradient laws, power and sigmoid functions.