The paper aims to obtain a group of wood supporting structures with optimal strength and stability through orthogonal test and finite element method. A certain plywood wood support was taken as the research object, the 3D modeling software IronCAD was adopted to establish a wood support model, and an orthogonal test table of L9 (34) was designed with the orthogonal test method. On this basis, the finite element software Ansys Workbench was used to carry out statics analysis on the program determined by orthogonal test. The simulation results were summarized and sorted out, range analysis and comprehensive balance were carried out to get the primary and secondary factors affecting the performance of the wooden support structure, and the optimal test program was determined. Through the range analysis, the primary and secondary factors affecting the performance of the wooden support structure were obtained. They were the distance from the center to stiffeners on both sides the distance from the center of the slotted arc to the intermediate plate end, and the aspect ratio of the stiffener from the main to the secondary. Then, the optimal design parameters were determined by the comprehensive balance method (the center of the slotted arc was 65 mm from the upper end of the support, the distance between the two sides of the stiffener was 280 mm from the center, and the aspect ratio of the stiffener was 2.5∶2). Compared with the initial scheme, the maximum stress value was reduced by 16%, the frequency of the first-order mode was increased by 58.2%, and the maximum deformation was reduced by 0.9%. It is feasible to find the optimal design of the wooden support through the orthogonal test method and the finite element method. Application of the results to the wooden support design can meet the requirements and obtain a reasonable groove depth and a reasonable arrangement position of the reinforcing plates on both sides.