On the basis of the analysed references it has been shown that an important problem in designing hydraulic machines is to develop a method of designing a pumping system of pumps with the internal gearing, which would integrate designing gears and compenstion elements. The authors of the paper has defined a design algorithm that consists of three basic stages: designing a concept of the system, designing the gear subsystem, and designing the compensation subsystem. The design process at particular stages have been described, and the results have been presented in engineering drawings. An original computer program 'Internal Pumping Set' which enhances the process of designing the pumping system has been created. An application of the program has been presented, and a design of an exemplary pumping system made.