Two kinds of frequency selective surfaces with polarization selective characteristics are proposed in this paper. According to the design method of metamaterial, frequency selectivity capability can be achieved by the combination of continuous conducting wire and cut-wire whose effective permittivity is Lorentz-type. By different dimensions and structures in the x-axis and the y-axis of frequency selective surface unit cells, the passband properties for TE and TM waves are separated, so a polarization selective surface in GHz band can be achieved. The design method demonstrates the feasibility of metamaterial frequency selective surface and is of great reference value in fabricating polarization filter and polarization wave generator of specified frequency.