Based on that the high order band-pass frequency selective surface (FSS) has the advantages of bandwidth controllable flexibility, stable performance, flat pass band and low insertion loss, a second-order FSS with good band-pass performances is designed in this paper. The designed FSS is composed of two layers of dielectric boards loaded with three layers of metallic patterns sheets. The two outer layers are of circular metallic patches while the middle layer is of circular aperture. The straight-line method is used to analyze and calculate the structure of the FSS, and a test sample is fabricated and measured to verify the results. The experiment results show that such a three-layer FSS has the desired second-order band-pass properties,the 3 dB bandwidth is of 4.21 GHz, the relative bandwidth is 21%, and the pass-band is quite flat and smooth in which the insertion loss is low. Moreover, the FSS can keep stable performances under different incident angles and polarization states.