In order to solve the problems of low robustness and inaccurate location of power line suspension point location methods, a power line suspension point location method based on laser point cloud combined with local 3-D reconstruction and iterative search was used to study the location of power line suspension point. The spatial characteristics of power line point clouds were analyzed and the spatial constraints of power lines were deduced, which is used as a growth criterion for region growth based on spatial constraints to realize single power line segmentation across multiple stages. Then, the center point of the tower was extracted by clustering the point cloud of the tower, and the spatial segmentation plane of each power line was delineated on the basis of the angular bisector of the connection line of the center point of the tower. After that, the spatial polynomial local 3-D reconstruction of the power line point cloud near each segmentation plane was carried out; Finally, combined with the iterative search of the segmentation plane, the intersection point of the power line was reconstructed, and the spatial location of the power line suspension point was realized. The results show that for three kinds of voltage grade line point clouds and two kinds of data quality point clouds, the average location deviation is less than 0.09m, and the minimum deviation is 0.03m. This method has high robustness and can accurately locate the power line suspension point in each voltage level and mass point cloud data with high robustness and accuracy, which provides a basis for the subsequent safety analysis of power line simulation based on the suspension point.