Abstract:In this paper,we described a shape preserving spline function with Hermite interpolation condition. A spline function of monotone perserving q(x) is constructed,and q(x) satisfies 1) q(xi)=yi,i=0,1,…,n,n+1, 2) q'(xi)= y'i i=0,1 ,…,n,n+1. Similar spline functions have a1so been studied for convex sequences {yi}i=0n+1.