A modular construction system for reducing costs and improving the long term structural integrity of buildings. The modular construction system includes a plurality of lateral members which are stackable and couplable end-to-end with other lateral members, a plurality of anchor members which are couplable to a foundation of a building and include an eye portion, a plurality of anchor segments which include a hook portion for engaging the eye portion of the anchor member and are positionable through a bore of the lateral members for securing the lateral members to the foundation, and a plurality of fastener members which are each couplable to an associated one of the anchor segments to prevent the lateral members from being lifted away from the foundation.