  The properties of surface waves in the partially ionized, incompressible
magnetized plasma slab are investigated in the present work. The waves are
affected by the non ideal MHD effects which causes the finite drift of the
magnetic field in the medium. When the finite drift of the magnetic field is
ignored, the characteristics of the wave propagation in the partially ionized
plasma fluid is similar to the ideal MHD except now the propagation properties
depend on the fractional ionization of the medium. In the presence of Hall
diffusion, the propagation of the sausage and kink surface waves depends on the
level of fractional ionization of the medium. When both the Hall and Pedersen
diffusion are present in the medium, the waves undergoes damping. For typical
solar parameters, waves may damp over few minutes.
