In this paper, I discuss a method for increasing the continuity between two functional triangular polynomial patches by adjusting their control points. The method described in this paper leaves the control points unchanged if the patches already meet with the desired level of continuity. As an example of using this construction, I give a simple method to construct a C0 patch network with high order polynomial precision, and then adjust its control points to increase continuity without decreasing the order of polynomial precision. Key words: Continuity, triangular B