This paper presents the design of dual-band spatial filter for shielding S band and X band wireless signals. The proposed Frequency Selective Surface (FSS) geometry consisting of a square loop convoluted with four strips positioned along the conducting loop. The FSS is aimed to reject WLAN/S-band (2.64 GHz) and X-band (8.3 GHz) wireless signals. The proposed FSS is tested for its angular stability by considering the wave incidence at various angles between 0˚ and 60˚. It is also tested for its polarization insensitive feature via TE mode and TM mode. The prototype FSS is printed on an FR-4 substrate with 1.6 mm thickness and the unit cell footprint of 14.8 mm and tested in an anechoic chamber. The working principle is explained through surface current distribution and the equivalent circuit model of the FSS. Measured results have better similarity with the simulated results.