A process for slip forming of concrete structures, specifically, concrete structural components, for road and bridge construction. This process has particular application for slip forming of monolithic structures having multiple component/functional parts, wherein the resultant slip formed monolithic, structure has exposed rebars bar the later integration with additional concrete structures arid/or mechanical structural elements, c,g. noise walls, barricades, guard rails and the like. This invention also includes a system adapted for the formation of these unique, monolithic slip formed structures with exposed rebars, including the tunnel mold assembly, which is utilized in this slip forming process; and, the resultant to slip molded monolithic structural component with exposed rebus.