We study MHD wave propagation in a gravitationally stratified isothermal viscous atmosphere of the Sun, permeated by a uniform magentic field. We perform numerical simulations by launching a slow wave on the upper boundary. The driven slow wave propagates down from lowβ- to high-β plasma across the region where the plasma β is unity. It is found that mode conversion takes place at z ≈ -1.8 in the layer β ≈ 1. The amplitudes of horizontal and vertical velocites are smaller than those obtained in the absence of viscosity.