According　to　the　gear　meshing　and　the　differential　geometry　theory,　the　tooth　surface　equation　of　orthogonal　face　gear　is　derived　and　the　corresponding　mathematical　model　of　orthogonal　shaft　is　founded.　Computer　simulation　of　shaping　process　of　orthogonal　face　gear　based　on　UG/Open　GRIP　of　UG　is　achieved.　A　foundation　to　parametric　design　of　involute　gear　cutter　is　provided.　Shaping　process　of　orthogonal　face　gear　using　involute　gear　cutter　is　simulated　and　the　parametric　model　of　face　gear　is　generated.　The　process　of　machining　face　gear　is　shown.　The　radius　of　pointing　was　calculated　by　the　approximate　formula,　and　measured　by　the　tool　of　UG.　The　feasibility　of　the　method　is　demonstrated　by　comparing　the　two　situations.