The paper presents the formulation of the problem of optimal design of rubber bush of the track link and its solution. The search for the optimal design is based on the results of calculating the stress-strain state of the rubber ring caused by the assembly of the rubber-metal hinge and loads during subsequent operation. As an objective function, the specific energy of deformation of the rubber was chosen. The dimensions of the rubber ring of the rubber-metal hinges in the undeformed state are taken as variable parameters. Formulation of the optimization problem imposes constraints on the design parameters in the form of inequations. The solution of the problem of optimal design and the results of durability tests are presented.