The question of determining the power loads in the elements of the supporting structure of a parallelogram hoist is considered. The design diagram of the lift supporting structure and the mathematical model describing the dependence of the power geometric characteristics of the structure are presented. To simplify the design scheme, not a volumetric, but a flat supporting structure was considered. Equilibrium equations were compiled for each element of the design scheme. The dependence of the angle of inclination of the element of the hydraulic cylinder rod on the angle of lifting of the supporting structure is obtained and the nature of the dependence is shown. The system of equations was solved in matrix form for the given values of the angle of the hydraulic cylinder rod position.