A flooring system for a vehicle having a corrugated floor comprises a plurality of flooring panels supported at their undersides by two or more registration members having locating members and other features for aligning the flooring panels vertically, laterally, and longitudinally. The flooring panels each have at least one longitudinally aligned load-bearing structure, such as in integrated track or a universal channel configured to receive a flanged track, filler material, or both. The registration members may have depending support members configured to engage in the valleys of the corrugated vehicle floor.