Abstract:Boundary vibration phenomenon occurs in solving the gravity inversion of 3-D interfaces with the use of boundary element method(solving the gravity inversion equation by algebraic reconstruction technique).The origin of boundary vibration phenomenon is analysed here.Weight smoothing can be used to remove the boundary vibration phenoTtienon and to cause fast convergence of iteration inversion.The inversion results of interfaces in both theoretical and real gravity fields show that the weight-smoothed boundary element method is better than other approximate iteration inversion method is and applies to practical work because it brings satisfactory inversion results without boundary vibration phenomenon.