In this paper, the regular domain of traditional parametric surface is generalized to manifold, and a new method is proposed to construct smooth surface based on this domain manifold. This method uses shortest distance to build base function, and creates arbitrary topology smooth surfaces directly without split and joint. The result surfaces based on this method can be controlled easily in locally area, and a lot of algorithms used in NURBS surface also can be applicable here. The experimental results show that the construct method can easily generate complex surface.