This document discusses a hybrid image compression technique using both discrete cosine transform (DCT) and discrete wavelet transform (DWT). It begins with an introduction to image compression and its goals of reducing file size while maintaining quality. Next, it outlines the proposed hybrid compression method, which applies DWT to blocks of the image, then DCT to the approximation coefficients from DWT. This is intended to achieve higher compression ratios than DCT or DWT alone, with fewer blocking artifacts and false contours. Simulation results on various test images show the hybrid method provides higher PSNR and lower MSE than the individual transforms, demonstrating it outperforms them in terms of both quality and compression. The document concludes the hybrid approach is more suitable for