Morphing is the process of changing one figure to another. In this study, we focus on the conformal morphing on the facial surface. According to the Riemann mapping theorem, we know that there exists a unique Riemann conformal mapping to map a simply connected surface to a unit disk. Hence, we reduce the 3D facial surface matching problem to a unit disk matching problem. Among the process of morphing, we also use the concept of conformal mapping and homotopy to uniform structure of triangular mesh on surface, and then complete the surface matching. The result of this study will be based on those concepts to reconstruct the virtual broadcasting film with facial surface.