Second- and third-order fault-bounded Precambrian basins frequently host deposits of the sedimentary massive sulphide group. Three-dimensional geometric modelling of the thickness of preserved basin-fill successions of the Transvaal Supergroup, using DATAMINE software, and residual gravity modelling of the contemporary basement floor, help delineate areas of exploration potential in this unit. Two main depositional axes are tentatively identified for the basal volcano-sedimentary protobasinal Transvaal successions. A sheet-like geometry was indicated for the succeeding Black Reef sandstones and Chuniespoort Group chemical sedimentary rocks. The uppermost Pretoria Group thickness model delineates eastern and western second-order basins separated by a central submerged palaeo-high. A similar isopach pattern is noted for the thick shales of the Silverton Formation in this group, with, in addition, a well-defined third-order basin in the northwest of the western second-order basin. The residual gravity model indicates two linear palaeo-valleys adjacent to this western basin, one coincident with one of the axes inferred for the protobasinal rocks. The fault-bounded second- and third-order basins and depositional axes postulated here are consistent with known geological data and suggested sedimentation models. Cumulative distortions implicit in the DATAMINE computer modelling technique are reduced when the method is applied on the basin-wide scale, enabling identification of regional exploration target areas rather than immediate prospecting targets.