Abstract: Aiming at the free-form surface matching with no prior information on transformation,an effective and straightforward matching method is presented.The method establishes the corresponding relationships between two free-form surfaces with constraints of angle and distance by means of the surface features of the Gaussian curvature and the mean curvature.And then by using the proposed method calculating the transformation,a list of transformations is constituted.On the basis of these,the optimal transformation is achieved by the minimum distance function.Experimental results demonstrate that the algorithm is steady and effective.