One of the applications of distributed moving heat source is forming steel components by flame bending process. In the process simulation, determination of temperature distribution in work pieces is very important. For this purpose, the 3D transient heat transfer equation must be solved. In present study, Considering input heat flux as Gaussian distribution with free convection and, radiation boundary conditions, a model is given to analyze heat transfer during flame bending process of steel plates. For this model, a computer program has been developed by using finite element method. To verify the model and program, some examples are analyzed and their results are compared with those of the other researchers in given cases. From obtained results, it has been shown that the process is under influence of torch speed, effective power and concentration coefficient of flame, plate thickness and boundary conditions including of free convection and radiation.