Abstract: A mortarless wall assembly and method for constructing the wall assembly, the wall assembly comprising a plurality of building blocks, each of the building blocks including a pair of parallel sidewalls interconnected by a web, and a plurality of slots, the building blocks being specially adapted to receive reinforcing rods, pipe, conduit, and the like, and a plurality of restraining members specially adapted to be fitted into the building blocks to prevent relative horizontal movement of the building blocks with respect to one another and to ensure proper alignment of the building blocks in the wall assembly, the restraining members including portions adapted to be housed in the slots in the building blocks.The building blocks, when assembled in the wall, being designed to receive poured concrete to form a solid, voidless wall, the wall including paths for concrete flow so that adjacent building blocks are joined to each other by concrete.