Abstarct: Today, Inverse heat transfer problems (IHTP) are considered by many scientists in different branch of technologies. The solidification of mextal is one of the applications of this method. In solidification the quality of the material is mainly depend on interface velocity. Therefore, by controlling this parameter during the solidification process we can get a desired quality. The aim of solving inverse problems in solidification processes is to estimate the heat flux in boundaries so that the desired quality is obtained. Different methods are suggested for solving IHTP in solidification. The Conjugate Gradient Method (CGM) is known to be the best method until now. The Variable Metric Method (VMM) which is experienced in this investigation is found to have higher convergence rate and accuracy between the other methods of IHTP. Here, the VMM is used to control the solidification of pure material. Also to decrease the cost of solution, the enthalpy formulation is applied to solve the direct heat transfer problem. For evaluating the VMM performance, the results for various parameters, affecting the inverse solution, has been compared with CGM. The obtained results indicate that the VMM has more efficient than the CGM in solving inverse problem of solidification.