In this paper the performance of Low–Density Parity–Check (LDPC) and Reed–Solomon (RS) codes are analyzed using a wireless image transmission system. The system utilizes the Additive White Gaussian Noise (AWGN) channel. In this work, a grayscale image is used as the input data source. The quality of the reconstructed grayscale image after the channel decoder is measured using the Peak Signal to Noise Ratio (PSNR) by comparing the reconstructed image with the input grayscale image. Simulation results show that the performance of image transmission system using LDPC code is always outperformed the system with RS code in AWGN channel. The quality of output grayscale image is considered good if the value of the PSNR is above 30 dB.