To　reduce　interpolation　time　and　Max　interpolation　error　in　NURBS　(Non-Uniform　Rational　B-Spline)　interpolation　caused　by　planning　Velocity.　This　paper　proposed　a　velocity　planning　interpolation　algorithm　based　on　NURBS　curve.　Firstly,　the　second-order　Taylor　expansion　is　applied　on　the　numerator　in　NURBS　curve　representation　with　parameter　curve.　Then,　velocity　planning　interpolation　algorithm　can　meet　with　NURBS　curve　interpolation.　Finally,　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.