The present Cellular Concrete Filled Structural Steel Wall Frames are interconnected in three dimensions with other modular construction elements to enable the rapid construction of multi-story buildings with improved quality of construction over that found in traditional multi-story building construction techniques. These Cellular Concrete Structural Steel Wall Frames typically have a Thin Concrete Wall Panel affixed to the exterior of the structural steel, and also electrical and plumbing rough utility components installed in the Wall Frames.