The purpose of the study was to optimize a cycloidal gearbox which is used in the application for a rear regenerative shock absorber for motorcycles. The operating principle of the gearbox has been analyzed from the point of view of possible configuration layouts and also the analytical equations for static equilibrium, to provide the optimal design based on several criteria. Support functions have been written in order aid in the evaluation of the performance of the gearbox. The functions range from: hertzian pressure acting on the elements within the drive; profile singularity to study the feasibility of the design; and the internal reactions experienced by the elements.