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In this work, the finite element method (FEM) was employed to simulate hybrid laser TIG butt welding on 6 mm thick austenitic stainless steel (AISI 304) and martensitic stainless steel (AISI 410). These steels have received lot of interest from many sectors like aerospace, medical device, automotive and petrochemical industries, which is due to their excellent mechanical properties: high corrosion resistance and good fatigue resistance. For the numerical simulation, a double ellipsoidal heat source model was developed to simulate electric arc, while a cylindrical heat source model was employed to simulate the laser beam. The results show that the model can predict the temperature field, the size and the shape of the fusion (FZ) and the heat affected zones (HAZ). The model accuracy was validated through comparison of the size and the shape of the molten pool and the heat effected zones for numerical and experimental analysis. Therefore, it can be asserted that FEM model is suitable for the prediction of the thermal effects of welding on dissimilar austenitic martensitic stainless-steel weld. [ABSTRACT FROM AUTHOR]