In　order　to　solve　the　problems　of　a　improved　algorithm　adaptive　of　NURBS　curve,　Such　as　interpolation　time　bigger,　calculation　more　complicated,　and　NURBS　curve　step　error　are　not　easy　changed　and　so　on.　This　paper　proposed　a　study　on　the　algorithm　for　improved　algorithm　adaptive　of　NURBS　curve　and　simulation.　We　can　use　improved　algorithm　adaptive　of　NURBS　curve　that　calculate　(x(i),　y(i),　z(i)).　Simulation　results　show　that　the　proposed　NURBS　curve　interpolator　meet　the　high-speed　and　high-accuracy　interpolation　requirements　of　CNC　systems.　The　interpolation　of　NURBS　curve　should　be　finished.　The　simulation　results　show　that　the　algorithm　is　correct;　it　is　consistent　with　a　NURBS　curve　interpolation　requirements.