A 3D Morphing algorithm based on distance field interpolation is presented in this paper. This method uses analytic distance field to implement 3D Morphing, which makes the smoothness of the transformation shapes not depending on the discrete accuracy of original models. The interactive Morphing algorithm based on some constrained points and Morphing influence shapes is also given in this paper, which allows users to control Morphing procedures intuitively and conveniently. Several Morphing examples show that this algorithm can generate the controllable transformation shapes between any two oriented manifold models.