To get low transmittance in mid-infrared atmospheric windows (3-5.m) and far-infrared atmospheric windows (8-14.m), we designed a double frequency infrared frequency selective surface (FSS). This FSS is composed of two ring structures – the outer side of the structure is a hexagon and inner side is a circle. The simulation results of CST electromagnetic software show that the average transmittance of the FSS in both mid and far infrared atmospheric windows is less than 5%; in addition, the two stopbands in infrared wavelengths are realized. The filtering mechanism of the frequency selective surface is analyzed based on the method of surface current model analysis. The structure forms a symmetrical current mode through the coupling between the unit in the screen, which enhances the scattering-field and decreases the transmission rate, forming a stopband in the corresponding band. The simulation results show that the structure has polarization stability and good angle stability for TE electromagnetic waves with different incident angles. In addition, the dielectric layer thickness and loss tangent have little effect on transmission properties, and dielectric constant has a great effect on transmission properties.