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 walls are created with stacking modular elements to form a vertically continuous structure, and Floor Modules (161,162) are supported by a Floor Shelf (141-144) at predetermined elevations to provide a solid surface on top of which a Topping Slab (1031,1032) of concrete is poured which fills the space between the Floor Module and the Wall Trusses to create an integral structure.