Based　on　the　expression　of　element　compliance　matrix　which　is　derived　by　Gao,　YC(2003),　the　governing　equation　and　the　node-displacement　formula　expressed　by　the　base　forces　are　obtained　via　the　complementary　energy　principle　and　Lagrange　multiplier　method　for　complementary　finite-element　method.　A　program　for　the　finite　element　method　is　developed　to　solve　several　problems　of　elasticity　theory,　and　the　numerical　results　are　consistent　with　those　of　the　theoretical　solutions　to　show　the　further　application　foreground.