This study presents a novel Frequency Selective Surface (FSS) design with angularly stable and polarization independent band-stop response. The presented FSS comprises miniaturized unit cells printed on two layers of the dielectric substrates. The -3dB bandwidth of proposed FSS is between 2.98 GHz and 10.86 GHz frequencies. The unit cell dimension is 0.064 lambda x 0.064 lambda with the thickness of 0.02 lambda, where lambda is the wavelength of the lower operational frequency. The proposed FSS has angular stability up to 60 degrees for TE polarization. The designed FSS is simulated and analyzed by using the commercial software, CST Microwave Studio. The simulation results are verified by measurements carried on a fabricated prototype and a good agreement is achieved.