Abstarct: Cancer is an ungovernable increment and spread of cells. Cancer cells damage adjacent tissues after multiplication by forming a tissue mass called a tumor. There are several treatments for cancer like surgery, chemotherapy, and radiation techniques and hyperthermia. Hyperthermia is a medical condition in which the temperature of the tumor tissue rises gradually in a controlled mode from 37 °C, that is the normal temperature of the tissue, to 42 °C and above for a specified period. Hyperthermia affects on cancerous tissue by the quantity of temperature and the time that heat source applies to the tissue. Hyperthermia is one of the promising techniques that has shown great potential to perish cancer cells via heat generation. The most important issue in hyperthermia is estimation of heat source and the temperature distribution in tumor. Thus, the tumor tissue is damaged and ruined according to temperature, duration of heat application, and other tissue conditions. Bio-heat transfer models tissues’ heat behavior in hyperthermia and proceeds to the heat transfer model in living tissues. Analysis of heat transfer within tissue requires precise mathematical modeling since modeling the heat transfer in living tissue confronts complications because of the complex geometry of the vessel and the effect of heat transfer in the tissue from the bloodstream. Cancer is defined as uncontrolled growth and spread of cells. Thermal therapy is a prevalent tumor treatment in which body tissue is exposed to high temperatures. In this study, a non-Fourier model is applied to circumvent the problem of quick response of changes to the thermal gradient in biological therapies. Another drawback in the biological thermal equations is that blood direction does not affect the thermal distribution. In the current study, two bio-heat transfer models, porous medium model and Pennes’ model in both Fourier and non-Fourier conditions are used to predict the temperature response of a spherical tissue in cartesian coordinates. This study considers two pairs of blood vessel sizes and velocities for several values of porosity and perfusion coefficients. Governing equations are solved by using the finite-element code COMSOL software. Thermal equilibrium is observed in the smaller blood diameter sizes. Another interesting result obtained in the non-Fourier condition of Pennes model is that the temperature of the tissue remains constant after finishing the implementation of thermal dose. By increasing the relaxation time, the temperature of the tissue becomes independent of perfusion coefficient in such a way that the tissue temperature becomes constant in 38 °C for relaxation time of 10 sec. Proper estimation of the heat source during hyperthermia can destroy cancerous cells. One of the most important challenges in treating cancer with hyperthermia is estimating the quantity of heat absorbed to eliminate the cancer tissue. Assessing the success or failure of treatment necessitates precise information about the temperature distribution of all points within the tissue. However, it is practically impossible to measure the temperature of all tissue points. In such cases, inverse analysis can access the heat source within the tissue by having the target temperature of the tissue treated with hyperthermia. The temperature of cancer tissue rises to 42 °C during this treatment and stays constant for a certain period. In this thesis, a one-dimensional tissue with the characteristics of skin tissue has been used to control the temperature in the treatment of hyperthermia. In this study, as the novelty, the inverse analysis of the non-Fourier heat conduction problem of the porous media as a model with most actual conditions is solved by conjugate gradient method with adjoint problem which has not been applied in any study of bio-heat transfer so far. The equations of the direct, sensitivity and adjoint problem in the conjugate gradient method are manually extracted and solved by Comsol finite element software. Then, in order to optimize, the results of solving the equations of conjugate gradient method are lixnked with MATLAB programming software. in the treatment of hyperthermia.The results indicate the required quantity of heat source to control the temperature cancerous tissue in the treatment of hyperthermia.