Difficulties involved to popular power resousrces are pollution and non-portability of clear ones like geothermal, wind and nuclear power. However, fuel cell are named “future soldier” because of their high performance and cleaness and portability. These fuel cells generate needed electric power by combining oxygen and hydrogen and converting them to water. Since solide oxide fuel cell don’t need to catalysor, and also working in high temperature, their has a low rate of 85 percent more over, they have very good resistance against acid gases or monoxide carbon and do not fail in such enviromental. One of the main difficulties of the SOFCs development is their heating up to the working temperature at starting phase. This kind of fuel cell consists of cathode, electrolye, anode layers and bipolar plates. These layers have different coefficients of thermal expansion (CTE’s) which are thermal dependent , and cuases thermal stress while these layers are heating up to the working temprature. If the fuel cell heated up suddenly with high rate, it will be fractured because of accruing high thermal stresses and power generation will be ended. This research studie behavior of SOFC’s in heating process at starting phase to achieve the best and highest heating rate bye using finite element method. Moreover, mechanical and thermal contact problem its effect on accured stress is studied. In as much as such comprehensive study on 5-ply stack considering thermal contact has done for first time, there were not similar works and results to compare the outcomes. Hence, in a simplified case to verify and confirm the computed outcomes by ANSYS in compared with one of the refrences.