Abstract: A new local consistent fitting method is presented for dealing with the confluence region, where multiple surfaces meet, to reach global smoothness and keep local feature of normal vector trends. Based on the basic theories of curve and surface in CAGD such as geometric continuity, intersection, bridge, discretization and fitting etc., a reasonable local region definition and feature sensitive surface fitting technique subject to complex boundary constraints are discussed in detail. The final consistent surface, which keeps the fitting precision and reflects the feature trend of the original surfaces, satisfies G¹ continuity over the whole surface model. The surface-editing tool based on the local consistent technique is applied in a professional reverse engineering CAD software RE-SOFT V6.0. An example and suggestions for future work are concluded.