This article presents an innovative optimization method aimed at achieving optimal force distributions and cross-sectional areas for cables in cable-stayed bridges. The primary objective is to ensure appropriate stress levels in both the deck and stays, while also optimizing the geometric configurations of the deck. To achieve this, a linear optimization technique is employed, which focuses on minimizing the total energy expended and adjusting the upper and lower bounds of force within the cables. The optimization process involves calculating the optimal cross-sectional areas and cable forces under both dead and live loads. By incorporating constraints related to live load locations, deformations, and required stress levels, the proposed method aims to achieve a balanced and efficient cable configuration. To illustrate the application of this method, a numerical example utilizing the SAP2000 software is presented. Through this example, cable forces and cross-sectional areas are computed based on specific live load scenarios, considering variations in deformation and stress requirements. The results obtained from this study showcase the effectiveness of linear optimization as a powerful tool in the design of cable-stayed bridges, enabling engineers to achieve optimal cable configurations that lower the construction cost of structures. The use of the proposed method significantly reduces the computational effort required for finite element analysis during optimization, compared to nonlinear approaches.