The aero engine blade works in the culvert of high temperature and pressure for a long time, which leads to the damage of fracture, scratch and deformation. Three-dimensional digital modeling of damaged blade is the key step of its additive manufacturing. The accuracy of the model directly affects the quality of cladding manufacturing. In view of the spatial torsional characteristics of the space engine blade, in this paper, a non-contact laser overlapping three-dimensional reconstruction method is proposed. Based on the feature matrix of the relative position between the laser probe and the blade in the scanning strategy. The registration parameters of the point cloud are initialized, and the size of the source point cloud is reduced by assigning the weight, and the iterative nearest point algorithm is optimized. Finally, the point cloud data is simplified and meshed to complete the three-dimensional model of damaged blade. In the registration process, the effect of point cloud block overlap rate on the model accuracy are analyzed. Experimental results show that when the overlap rate is 50%, the acquisition time is short, and the information integrity is high. The standard measurement block ladder verifies that the measurement accuracy of the model is 10 μm. The method meets the accuracy requirement of the damaged blade reconstruction model.