Point cloud registration is one of the key issues in the process of three-dimensional modeling. Fast and high precision registration is the focus of point cloud registration. A method of point cloud registration based on independent component analysis (ICA) is proposed. The independent components, mixing matrix and unmixing matrix are obtained after ICA of two point cloud. Because of the fuzzy problem of ICA, the independent components of the two point cloud may have the difference in the order and the symbol. The optimal transformation matrix of two independent components can be obtained under the optimization criterion of minimum F norm. Further, the accurate registration of point clouds is achieved based on the relationship between point cloud data and independent components. Experimental results show that the proposed algorithm has faster registration speed and higher registration accuracy.