Frequency selective surfaces are one of the examples of periodic structures that have various applications in military and industry fields in recent decades. For example radome put on antennas and radars, uses as filter for inappropriate signals. In general, these surfaces are in two types: dipole and slot that their frequency response are band-stop and band-pass respectively. However, they are used as absorber, polarizer, reflector and etc in other designs. A lot of factors affects how frequency selective surfaces work, including these factors can be mentioned the element shape, dielectric materials and thickness, the cell size, the grid in which the cell is and etc. Because of different effects of these factors on frequency selective surfaces, each is considered individually in designing process. Like other structures, frequency selective surfaces have some limitations that some of the most important ones are bandwidth, dimensions, resonant frequency and bandwidth stability under variations of incident angle and polarization and grating lobe frequency. In these years, frequency selective surfaces designers have been trying to improve and eliminate these limitations and use these surfaces in other industries. Methods used to improve their performance like adding active and lumped elements, cell miniaturization, three dimensional frequency selective surfaces and etc, have lessened some of aforementioned limitations partly. But each of these methods has lessened one or two of these limitations and in some cases they have made some new problems. In this research a new method has been presented to design frequency selective surfaces. In this method in order to design band-pass filters, non-resonant elements and dipole shape of frequency selective surfaces are used instead of slot shape. The most important advantage of the method is to increase bandwidth stability to incident angle which has been one of basic limitations of frequency selective surfaces. Therefore, two kinds of these frequency selective surfaces are designed that in the first case using square element, the bandwidth is obtained 12.71GHz at the center frequency 12.24GHz and the angle is stable up to 60° for both parallel and perpendicular polarizations. Although in this design grating lobe frequency is close to pass band. In the second design using triangle element and putting it in brick grid, in addition to the bandwidth stability up to angle of 70° for both polarizations, grating lobe frequency has been noticeably increased. To compare and better understand the frequency response, we achieved equivalent circuit and the response is compared with simulation results. Moreover rectangular waveguide system is designed and made and by putting the structure in it, the measurement curve is obtained. frequency selective surfaces, bandwidth, angle and polarization stability, grating lobe