For radial angulation deformity， it is difficult to accurately locate the osteotomy position only by experience， thus a three-Dimensional （3D） automatic planning algorithm for radial angulation wedge osteotomy was proposed to accurately determine the specific osteotomy position and calculate the best reset angle. Firstly， the contralateral radius mirror model with compensation difference was used as the reference template to calculate the bone deformity area. Secondly， the distal radius joint was registered based on the weight of the joint anatomical area to create the rotation axis direction vector， and the deformity contour curve of the XOZ plane was solved by the cubic spline interpolation method to determine the orientation of the rotation axis. Finally， the single-objective optimization algorithm was used to optimize the iteration， calculate the optimal osteotomy position and reset angle， and automatically generate the preoperative plan of wedge osteotomy. Six cases of radial angulation were selected to compare the registration accuracy of the joint anatomical area with the surgeon’s manual osteotomy planning method in 3D space as the experimental control group. Experimental results show that compared with manual osteotomy and reset by surgeons proposed by Miyake et al.， the Root Mean Square Error （RMSE） of the registration of the joint anatomical area obtained by the proposed algorithm is decreased by 0.09 to 0.42 mm； compared with the automatic planning method proposed by Fürnstahl et al.， the proposed algorithm can clarify the type of wedge and has higher clinical feasibility.