The gold nanoparticle mediated hyperthermia is used as a cancer treatment method in which gold nanoparticles are injected into a tumor and then illuminated with laser light. By excitation of plasmonic states in nanoparticles, a high absorption cross section is achieved. Gold nanoparticles absorb the incident energy and convert it into heat, which leads to an increase in tumor temperature.In this thesis, we investigate the effect of the shape of gold nanoparticles including silicagold nanoshells, gold rectangular nanocubes and gold nanorods on the amount of heat generated in cancerous tumors. The shape of the nanoparticles is the place of the plasmonic intensification spectrum, the plasmonic mode formed, the amount of radiation absorbed and after approval necessary. In this dissertation, with the help of deformation of gold nanoparticles, the plasmonic mode location is created and also radiation can be absorbed in order to achieve the maximum amount of heat generated in cancerous tumors. Finally, considering the periodic arrangement of nanoparticles, we examine the effect of the number of nanoparticles in the tumor on the amount of heat produced.