In this paper,we study the dispersive property of symplectic schemes for the nonlinear Schr(o)dinger equations.The numerical dispersion relation and group velocity are investigated.We obtain that the dispersion property is relevant to the numerical solution of the nonlinear Schr(o)dinger equations.And with the increasing of the group velocity,which is the first order derivative of the dispersion relation,the propagation velocity of the numerical solution increases.