The　finite　element　program　used　to　solve　mesh　sensibility　after　strain　softening　is　developed　including　gradient　plastic　theory.　The　u-λ　algorithm　with　damping　factor　is　presented,　which　can　solve　simultaneous　equation　of　displacement　and　yield　surface.　The　algorithm　can　get　displacement　and　plastic　multiplier　together,　and　can　avoid　the　stress　haul　back　calculation　in　stress　return　algorithm.　Soften　modulus　and　internal　character　length　were　introduced　into　D-P　yield　function,　the　strain　softening　and　the　gradient　effect　can　be　considered　in　the　constitutive　model.　Damp　Newton　algorithm　was　used　in　calculating　softening　problem.　The　example　result　shows　that,　the　algorithm　with　damping　factor　can　be　used　to　solve　softening　problems,　the　gradient　plastic　theory　described　by　finite　element　weak　form　has　no　requirement　of　continuity,　appropriate　outcome　can　be　got　by　first-order　element,　the　stable　stress-strain　curve　and　the　finite　shear　band　width　are　presented　in　some　different　meshes.　©　2017　Taylor　&　Francis　Group,　London.