One of the best ways to reduce the radar cross section is use of AMC structure. The main advantage of this method is low thickness and volume, the flatness, wide bandwidth, low cost and minimal dependency to polarization and angle of incidence. In this thesis three general checkerboard AMC surfaces are designed for RCS reduction. The first checkerboard AMC surface uses foam and the RT5880 substrate, includes square patch ringed and cross element that are out of phase with each other over the frequency band of 5.84-17GHz. These elements are implemented in primary and completed structure. The primary structure in which each block contains elements, has the bandwidth of 52.75%. In order to increase the frequency bandwidth, completed structure with elements in each block, is implemented. This structure bandwidth is 80.67%. By studying the FMB is observed that the completed structure has bandwidth more than 66% for incident angles that are smaller than . The second checkerboard AMC surface is designed on foam and RO4003 substrate. It is cheaper than the first structure and its elements are implemented with little change in geometric parameters of the first structure. These elements are out of phase with each other over the frequency band of 4.97-17.15 GHz. In order to increase the frequency bandwidth and reducing the amount of FMB, the third structure is implemented in aperiodic pattern which contains rectangular and square blocks. Aperiodic pattern is implemented by using RT5880 and RO4003 substrate. The completed structure with RO4003 substrate is fabricated and RCS reduction is measured.The measured results are in good agreement with the corresponding simulations. The advantages of structures that presented in this thesis are large frequency bandwidth so that frequency range includes frequencies less or more than 10 GHz. Another advantage is the simplicity of AMC structures so that all metal parts of element lying on one substrate. Also structures are minimal dependence to the angle of incidence and polarization over a wide frequency range of operation. In this thesis equivalent circuit of FSS structure composed of square patches ringed was derived and implemented in MATLAB and the results that obtained for different dimensions and different frequencies confirmed the results in CST software. Keywords: RCS reduction, AMC structures, Bandwidth, Equivalent circuit.