In contourlet transform, a drawback of Laplacian Pyramid (LP) is oversampling and non-orthogonal decomposition. Wavelet transform is a critically sampled scheme but it only generated three directions. Taking advantage of wavelet and contourlet, the proposed method was completed by wavelet transform in conjunction with directional filter banks. First,the proposed method derived wavelet coefficients of entry image through wavelet transform, then reconstructed the image only by lowpass coefficients. Finally, after processing, a highpass subband was derived. The proposed method kept critical sampling and it was convenient for direction filter banks to partition the highpass subbands.The proposed method can eliminate the noise effectively and provide the improved Peak Signal Noise Ratio (PSNR) over wavelet and contourlet transform.