Abstract: An improved process for constructing a multiple-story, reinforced concrete building, in which a central core tower is first erected on a conventional foundation by moving concrete forms incrementally upwardly. A work platform is mounted for self-propelled movement along the top side of the core forms, to move men and equipment to selected locations on the core tower as it is being erected, thus simplifying the construction and substantially reducing costs. Afer the core tower has been erected, floor slabs and integral, underlying walls are constructed from the uppermost floor downwardly using slab/wall forms that can be moved repeatedly downwardly without requiring disassembly and reassembly for each story. The integral, underlying walls associated with each floor slab provide the support structure for each story, thus permitting the slab/wall forms to be lowered without the need for re-shoring.