In this article, a double layer frequency selective surface (DFSS) composed of ring patch elements of four different sizes is proposed, to obtain angle and polarization insensitivity, and a broad bandwidth. The multiresonant elements with different sizes are then arranged into a unit cell that is to be repeated periodically. The proposed DFSS reflects the X and K‐band signals, while allowing the C‐ and Ku‐band signals to pass through. In this design, a four‐band FSS (including band‐stop FSS and band‐pass FSS) with a broad bandwidth is obtained, by adjusting the sizes of the rings, and thickness of the air foam between the FSS layers. Experimental verifications are carried out. The computed results agree well with the measured ones. © 2014 Wiley Periodicals, Inc. Microwave Opt Technol Lett 56:547–552, 2014