Streamline visualization is very important for the fluid dynamics and manufacture design. The visualization method constructed by the stream function and fluid flow model can not interactively change the visualization shapes upon the request to amend the surface. This paper presents a new visualization method with Bézier control mesh to achieve the streamline fluid flow visualization. The stream function is in accordance with the principles of fluid motion by using Bézier surfaces to find the constraint condition. The constructed surfaces can be interactively modified accurately to reflect the local details of the flow field to meet the engineering requirements. The streamline visualization can be modified and controlled interactively by a set of control parameters like the Bézier surface. It has an important practical value for fluid flow design and manufacturing.