A group of post-Karoo igneous complexes forms a roughly defined belt within the Northern and Central Zones of the NE-trending arm of Hie Damara Orogen. Geological studies of some of these complexes have been carried out, e.g. by Blumel et al. (1979), Korn and Martin (1954) and Linning (1968). Geophysical methods have, however, not been applied in any of these studies. Existing regional aeromagnetic and gravity data clearly indicate the association of gravity and magnetic anomalies with the Erongo, Messum and Cape Cross Complexes. A programme was initiated in order to supplement these data, to determine the three-dimensional form of the Erongo and Messum bodies and to explain their regional setting. The investigation is still in progress, but certain phases which have largely been completed are briefly described.