Abstract: In order to improve the effects of shape control for DP curve, cubic DP curve with two shape parame- ters is presented. First, a type of cubic DP basis functions are extended. Cubic DP basis functions with hvo shape parameters are given. Then, based on the basis functions, cubic DP curve with shape parameters is defined. The geometrical meanings of the shape parameters are discussed. G1, G2 continuous conditions of the curve based on shape parameters are given. Finally, the position parameter m is introduced, which makes the tangent point of the curve can be adjusted freely and the curve can be designed more flexibly. Example results show that, cubic DP curve with shape parameters not only achieve G1, G2 continuity, but also can realize shape control through the parameters.