We report on the optical properties of gold/hafnium oxide core-shells configuration designed for biomedical application. The Surface Plasmon Resonance (SPR), have been investigated as function of the thickness of hafnium oxide and the core size. Drude model and Mie theory have been used to optimize the absorption as function of both the core size and the shell thickness. Making a comparison with our previous work on gold/silica core-shell configuration where the maximum absorption value was found at a wavelength of 530 nm, the maximum absorption was reached at a wavelength value of 610 nm for the gold/hafnium oxide core-shell. Our results show a high absorption value up to 71.27%, demonstrating that gold/hafnium core-shell nanoparticles could be a good candidate for biomedical applications.