The marker and cell (MAC) method, a finite volume or finite difference method based on staggered grids, has been one of the simplest and most effective numerical schemes for solving the flow problems. The superconvergence on uniform grids for Stokes equations has been observed since 1992 but numerical analysis was not obtained completely. In this talk we will present the analysis of superconvergence for both velocity and pressure for the MAC scheme of Stokes problems and coupled Stokes and porous media flow problems. Numerical experiments using the MAC scheme show agreement of the numerical results with theoretical analysis.