In the interpretation of potential field data, accurate determining of the position for the anomaly sources and their properties played a really important role. For geomagnetic anomalies of adjacent sources, they always superimpose upon each other not only in the spatial domain but also in the frequency domain, making the identification of these sources considerably problematic. In this paper, a new mother wavelet for effective analysis the properties of the close potential field sources has been used. By theoretical modeling, using the wavelet transform modulus maxima (WTMM) method, we set up a correlative function between the scale parameter and geomagnetic source depth. Moreover, a scale normalization on the wavelet coefficients is introduced to enhance resolution for the separation of these sources in the scalograms, getting easy detection of their depth. After verifying the reliability of the proposed method on the modeling data, a process for the location of the adjacent geomagnetic sources using the wavelet transform is indicateted, and then application for analyzing the geomagnetic data in the Mekong Delta, South Vietnam. The results of this interpretation are consistency with previously published results, but the level of resolution for this technique is quite coincidental with other methods using different geological data.