The present Stacked Wall Truss Construction and its use in multi¬story buildings makes use of prefabricated modular wall elements (100) that are interconnected in three dimensions to enable the rapid completion of building construction with improved quality of construction over that found in traditional multi-story building construction. The resultant building is a structural steel frame without the use of stacking columns. Vierendeel trusses (100) with vertical members (101-105) of tube steel are used, thereby the construction process becomes stacking trusses fit up as complete walls, not erecting columns. An inner “Mating Member” (131-135) enables each truss to be near perfectly positioned on top of the installed truss below.