A method of construction of composite wall module system in which a first wall module and a second wall module are coupled to the first wall module by a vertical joint. The vertical joint is comprised of plurality of anchors and reinforcement bars as well as steel side plates allowing composite wall steel faceplates to be discontinuous across the vertical joint. The faceplates of the first and second modules are not made continuous across the vertical joint through continuous welding. The vertical wall joint further includes fill disposed between faceplates and side plates adjacent to anchors and reinforcement bars.