Based on the study of the two-dimensional moving meshes in dynamic aeroelastic interaction simulation, a three-dimensional moving grid enrichment approach is developed and illustrated in this paper .The key advantage of this approach is that the meshes interpolated in the computational domain is utilized to remap the flow variables from the old mesh to the new. The robustness and efficiency for coupled structure-fluid time marching computations have been emphasized in mesh deformation algorithm. Examples representating 2D and 3D flow problems are demonstrated,which shows the effictiueness of the approach.The results are satisfactory in the case of small amplitude displacement.