In this paper, we extend the 2-D dual-tree complex wavelet transform (DTCWT) to an adaptive anisotropic dualtree complex wavelet packets (ADTCWP). The DTCWT subbands are iteratively decomposed into anisotropic complex wavelet packets, generating anisotropic wavelets and increasing the number of wavelets orientations without introducing extra redundancy. Then a basis selection procedure is applied so that the selected complex wavelet packets are well adapted to image characteristics. The effectiveness of ADTCWP is examined in image denoising with a bivariate statistical model. The ADTCWP-based denoising scheme shows better denoising results than several DTCWT-based methods for image with rich directional features. The denoised images recovered by the proposed scheme are visually more appealing.