［Purposes］ The initial-boundary value problem of Rosenau-Kawahara equation is numerically studied. The Sinc collocation method for solving Rosenau-Kawahara equation is proposed. ［Methods］ The equation is fully-discretized by using Sinc collocation method for spatial discretization and the forward finite difference for time discretization. A hybrid difference scheme is obtained by means of parameter θ. ［Findings］ The stability of difference scheme is analyzed and the stability condition is given. ［Conclusions］ A numerical experiment is performed to illustrate the validity of the constructed method. The numerical results of the Crank-Nicholson scheme are better than those of the conservative finite difference schemes and the quintic B-spline collocation finite element method.