The　measurement　and　disposal　of　shape　information　plays　a　vital　role　in　strip　rolling　process　and　it　also　is　one　of　the　focus　in　strip　rolling　theory　today.　In　this　paper,　based　on　the　predictive　shape　control　system,　a　predictive　model　is　developed　in　which　the　regularization　method　is　adopted.　Through　the　simulation　on　the　data　of　four　high　reversible　rolling　mill,　it　proved　this　model　can　conquer　the　defects　of　the　mathematical　model　effectively　and　get　a　desirable　performance　of　shape　control　easily.