Abstract: The numerical solution for an initial-boundary value problem of generalized symmetrical regularized long wave equation (GSRLW) is considered.Apseudo-compact finite difference scheme of two levels is proposed.This scheme simulates the conservation properties of the problem well.It is proved that the finite difference scheme is convergent with order 2 and stable by discrete functional analysis method.The numerical examples show that the accuracy of this scheme is better than usual difference scheme of two levels.