This study deals with the numerical simulation of heterogeneous brazing of steel / aluminium alloy sheets by CMT process. The difference between the linear expansion coefficients of these materials generates high deformations and residual stress. The addiction of brazing material is simulated. A validation the model is made in the simplest case of a sheet of aluminium alloy with a brazing bead. Comparisons are made between numerical and experimental results on out-of-plane displacements of steel / aluminium assembly.