Frequency selective surface (FSS) composed of a novel element is presented in this paper. The novel element is designed by adding L-shaped slots to the cross aperture at its four ends. By disconnecting the novel element，a corresponding disconnected element FSS is designed. Based on the spectral-domain approach，two FSS structures with the novel element are calculated and analyzed theoretically. The influence on the center frequency for changing angles of TE incidence，polarization of large angle incident waves and the pass band width in the operating frequency band are researched. With filming technology and lithography，two FSS samples are made. The tests are made in the microwave darkroom. The measured curve shows good agreement with the calculated curve. It is shown that the resonant frequency of both FSS structures are angle independent for TE incident waves or polarization independent for large angle incidence. Meanwhile，our disconnected element FSS structure has wider pass band with little change of the resonance frequency.