Background noise is usually an important factor that affects speech recognition performance and many other applications. In this paper, background noise (wideband noise and sinusoidal noise) can be significantly suppressed using the proposed adaptive noise cancellation scheme based on adaptive line enhancer (ALE) and Normalized Least Mean Square (NLMS) filters. The proposed scheme is comprised of two stages. The first stage uses an ALE filters, which are used to reduce sinusoidal noise from the primary and reference input signals, whereas the wideband noise is reduced using NLMS adaptive filter in the second stage. To demonstrate the effectiveness of the proposed scheme ,it is compared to the traditional adaptive noise cancellation scheme. The good performance of the proposed scheme have been verified via computer simulations in noisy and reverberant environment.