To address the current lack of a direct mapping between design parameters and NURBS control points, a NURBS fitting algorithm based on graph matching is proposed. The algorithm first constructs a parameterized model and transforms its topological information into a graph structure to establish surface correspondences between the models via a graph matching algorithm. Based on these correspondences, the positions of the NURBS control points are adjusted so that the NURBS geometry is progressively aligned with the parameterized model, thereby establishing a mapping between the design parameters and the control points. The effectiveness and practicality of the proposed method are demonstrated through numerical experiments involving the OneraM6 wing and a missile model.