The invention discloses a frequency selective surface with high selectivity and angle stability, and aims to solve the technical problem that the existing frequency selective surface cannot realize high selectivity and angle stability concurrently. The frequency selective surface is formed by M*N passive resonant units arranged periodically, wherein M is greater than or equal to 3, and N is greater than or equal to 3; each passive resonant unit adopts an up-down laminated structure consisting of two layers of dielectric substrates; radiation patches of different structures are printed on the surfaces of the two layers of dielectric substrates; each dielectric substrate is provided with a dielectric through hole structure; and the high selectivity and the angle stability of the frequency selective surface are realized due to the mutual coupling between the radiation patches, the mutual coupling between the self structures of the radiation patches, and star-like gaps on the radiation patches. According to the frequency selective surface, the stop band is changed from 0dB to minus 20dB within a frequency range of 23.6-23.9GHz; meanwhile, good passband characteristic is kept within an angle range of 0-45 degrees and within a frequency range of 24-26GHz, so that the frequency selective surface can be used for the fields of reflector antennas, satellite communication and the like.