The surface modeling of streamline shape is important research subject in designing the outer appearance of the motion objects such as automobiles, ships and planes. This paper proposed a novel method of constructing streamline surfaces with restricted B?zier patches. The B?zier surface with the restricted condition, which makes it satisfy and solve the streamline function equation, is used as a surface modeling to construct the streamline surface. This paper described the modeling method of streamline surface in detail. The streamline surfaces are produced by the general B?zier surfaces which satisfied the fluid dynamics streamline function equation. This method fully utilizes the characteristic of B?zier patch and makes the streamline surface modeling easily.