A method of designing bandpass frequency select surface (FSS) has been proposed based on series and parallel equivalent circuit thought in this article.The novel dual-band equivalent circuits are designed. The equivalent admittances were extracted, and resonance frequency was calculated. The dual-band properties of circuit were verified, which lays foundation for the designing of FSS structure. The FSS unit designed in this paper adapts single-layer thin substrate, and it has simple structure, is easy to implement. The thickness of dualband is 0.017 wavelength. The angle stability and polarization stability of FSS are improved by utilizing miniaturization ideas and adding symmetrical structures. The dual-band FSS consists of two inner and outer loops nested. The inner ring is the Jerusalem structure, and the outer ring is folded structure, both can be independently adjustable resonance frequency. It can realize stable resonance at center frequencies under oblique incidence of 0 to 60 for both TE and TM polarization. For verifying filtering properties of FSS units, the prototypes are fabricated and measured. The results calculated by fullwave, equivalent circuit method (ECM) and measurement are in good agreement.