Multigrid methods are widely used and well studied for linear solvers and precondi-tioners of Krylov subspace methods.The multigrid method is one of the most powerful approach-es for solving large scale linear systems;however,it may show low parallel efficiency on coarse grids.There are several kinds of research on this issue.In this paper,we intend to overcome this difficulty by proposing a novel multigrid algorithm that has multiple grids on each layer.Numerical results indicate that the proposed method shows a better convergence rate compared with the existing multigrid method.