The Iraq Southern Desert (SD) lies in southwest Iraq and tectonically occupies a position on the stable part of the Arabian Platform. The area is characterized by a considerable thickness of Phanerozoic sedimentary sequences, generally non-magnetic, that overlie a Precambrian and reworked Proterozoic basement. The magnetic field, therefore, generally represents the responses of basement rocks. Several qualitative approaches are used for data enhancement of the potential field (gravity and magnetic) allowing for better qualitative interpretation. The present work aims to analyze the magnetic and gravity datasets of the SD and interpret them in terms of structures in the postulated basement and the sedimentary cover. In the present study, the Phase Preserving Dynamic Range Compression technique, which produces a set of dynamic range compressed images at different scales, is utilized to analyze gravity and magnetic datasets of the (SD). A free-download MATLAB code designed for this purpose is used to perform the required analyses. Large scale (long wavelengths) magnetic image, usually reflects deep sources, offers a possibility of structural interpretation of the Proterozoic basement into three blocks and sub-blocks; northwestern block, central block, and southeastern block. The blocks are separated by basement structural lows or grabens that are inferred from depth to basement maps. A small-scale wavelength image usually reflects magnetic sources at shallow basement depth, and displays different magnetic features mostly make up NE-SW lineaments. Analysis of gravity data at large- and small scales show gravity lows and lineament structures within the basement and the sedimentary cover, respectively.