Remanent magnetization is impossible to ignore in many applications of magnetic method including mineral exploration particularly iron ore, geomagnetism, regional investigation, and archaeological measurements. Magnetization vector inversion has made great attention in recent years since both distribution of the magnitude and direction of the magnetization have been obtained, therefore, it is easy to distinguish between the magnetic causative bodies especially when magnetic data are affected by remanent magnetization. In this research, the compact magnetization vector inversion (CMVI) has presented. The algorithm has included the combination of three weights as depth weighting, distance weighting and compactness weighting in Cartesian direction. The method has been validated with a synthetic example including a dipping dyke toward the earth.