An increase of a combustion chamber volume of internal combustion engines (ICE) is connected with the solution of a problem of burning in cylinders of bigger amount of fuel. Thus, providing the complete burning, a full scavenging of cylinders and maintenance in permissible limits of temperature of exhaust gases requires increasing air supply. The most effective method of increase in amount of air is an increase of its density by means of preliminary compression in the compressor with the subsequent cooling. It should be noted that high complexity and a large labor content of the natural experiments do not allow receiving the reliable values of gas-dynamic characteristics of air flow in a compressor of a turbocharger. Therefore, by means of a computer code of computational fluid dynamics ANSYS-CFX, numerical studies of a flow in gas channel of a compressor of the KAMAZ engine are carried out. The integrated values of pressure, temperature in inlet and outlet of a compressor, received during numerical simulations, allow defining the air compression ratio, and also calculating compressor efficiency. Verification of the results of the numerical studies and of the natural experiment gives an agreement of the values with accuracy 1-5%. Hereafter, analysis of the calculation results, and optimization of the gas channel geometry of the compressor can allow improving gas-dynamic parameters of the compressor. This can lead to raise in techno-economic characteristics of the ICE.