A novel monolayer frequency selective surface with dual-stop-band is presented, and this new structure is composed of circular aperture element and overlapping Y loop element to obtain these dual-stop-band characteristics by utilizing the coupling of the two elements . The spectrum domain approach and the electromagnetic simulation software are used to analyze the characteristics of the structure. The results show that the structure FSS forms two transmission prohibited bands with -5 dB within a lower stop band (between 13.4 GHz and 16.3 GHz) and a higher stop band (between 19.3 GHz and 28.4 GHz) respectively, and the new structure is good in angle stability and polarization stability. The novel FSS structure has a great application potential in the antenna multiplexer of different-frequency, radar anti-jamming and the realization of stealth of the antenna radome.