This article proposes a new technique for impulsive noise removal. This technique consists of two steps: (1) impulsive noise detection, and (2) impulsive noise suppression. The proposed method exploits the effectiveness of Weber Law in detecting and locating the impulsive noise appearing in the corrupted image. The occurrence of impulsive noise is then reduced and suppressed using the Total Variation-based approach with the detected noise map obtained from the Weber Law detector. As documented in the Experimental section, the proposed method offers promising results in terms of visual investigation. In addition, it also gives superior results compared to that of the former competing schemes under objective assessment. Thus, it can be regarded as a good candidate for impulsive noise removal algorithm.