cryosurgery is a minimally invasive treatment that uses low temperature and freezing for ablation the disease tissue from healthy tissues. Due to the addition of nanofluid in disease tissue, It significantly improve freezing efficiency of a conventional cryosurgical procedure. In this study, the effect of different nanofluid and volume fraction of them in heat transfer will be shown. The difference between the Fourier and non-Fourier temperature equation will be shown and for evaluation the effect of nanofluid on the solidification, used the non-Fourier equation. The enthalpy method applied for phase change temperature equations. The results show that with the addition of nanofluid into the tissue due to the increase in the thermal conductivity, its increase in cooling progress and at the same time, the temperature at each point has a smaller value in compared to non-nanofluid. Nanofluid also led to increased in cooling rate (an increase of more than 40 percent by injecting nano-Ag) and thereby further damage to the tumor. It also will be shown that if the thermal conductivity of nanoparticles or nanoparticle concentration increase in the tissue the heat transfer rate increases and therefore make lower temperature tissue and this will lead to further damage to the treated tumor.