Abstract: Accurately determining the load distribution at support points is essential for the structural design and performance optimization of hydrostatic guides. In addressing the challenge of solving support forces within multi-point statically indeterminate systems, traditional algebraic methods suffer from a significant increase in computational dimensionality and complexity as the number of support points grows. An iterative solution method for statically indeterminate load distribution based on the gradient descent algorithm is proposed. The core logic of this approach involves leveraging rigid body kinematics assumptions to map the unknown reaction forces at each support point into linear functions of distribution slopes and intercepts. This effectively transforms the high-dimensional force vector calculation into a low-dimensional feature parameter optimization. Furthermore, a loss function characterizing the deviation from static equilibrium is constructed, and the gradient descent algorithm is utilized to iteratively search for optimal parameters to minimize this deviation. Research results vindicate that this method effectively eliminates the dependence on high-dimensional linear equations and achieves a decoupling of computational complexity from the number of support points. Finally, by comparing the algorithm’s results with finite element analysis (FEA) across practical engineering cases, the method is proven to provide high accuracy and reliability, successfully meeting the requirements of industrial engineering design.