А mathematical modeling of electrochemical hydrogen compression process is presented. The model is based on theoretical thermodynamic functions and kinetic equations. The calculations are performed using free Scilab 6.0 software at varying input parameters such as current density, temperature and pressure. The developed model allows determination of polarization U/j characteristics, ohmic drop and energy efficiency of the compressor. It is validated using real experimental data from a laboratory prototype of electrochemical compressor in a single mode operation. The prototype system works with a membrane electrode assembly containing magnetron sputtered Pt catalysts on both electrodes (0.25 mgPt. cm-2 loading) and Nafion 117 polymer electrolyte membrane. The model is further developed to predict the behavior of the compressor at high differential pressure and elevated temperature.