Abstract: The new method triangulates the given data points into triangle network,and at the adjacent region of each point a C¹piecewise quadric interpolation patch is constructed.The surface patch on each triangle is constructed by the weighted combination of the three quadric patches at the vertices of the triangle.All the triangle patches are combined together to form the whole surface with C¹continuities.The surface constructed by the new method has the shape suggested by the given data points,and the method is simple in construction and efficient in calculation.Finally,an example is given to make comparison with other methods.