Abstract: Wavelet techniques can be successfully applied in various signal and image processing methods, namely in image denoising, segmentation, classification and motion estimation. Complex Discrete Wavelet Transform (CDWT) has significant advantages over real wavelet transform for certain signal processing problems. CDWT is a form of discrete wavelet transform, which generates complex coefficients by using a dual tree of wavelet filters to obtain their real and imaginary parts. In this study, we have illustrated the example of the application of complex wavelets for the denoising of SAR images, showing a great effectiveness in removing the noise compared to the classical DWT.