*† ‡ § This paper presents the application of the CIRA 3D code C3NS to the simulation of supersonic combustion problems typical of scramjet engines. After a brief code description, a trade-off analysis, carried out in order to find a reduced kinetic mechanism for Air-H2 combustion, is presented. The selected mechanism has to be computationally not heavy but, at the same time, accurate in the prediction of ignition delay time and adiabatic flame temperature. Furthermore, 2D and 3D flow problems reproducing supersonic mixing and combustion processes have been investigated with the purpose of obtaining a verification of the implemented models and a validation by comparing numerical and available experimental data. In particular, three tests of growing complexity, representative of typical supersonic combustion configuration have been selected. The first one is a typical validation tests of mixing and combustion in a parallel-injection configuration (TC-1). The last two tests are typical scramjet engine applications: the TC-2 is a test case representative of a scramjet combustor and TC-3 is a scramjet wind tunnel model in fuel off and fuel on configuration. The results show a good agreement with experimental data and are encouraging in order to employ the code in more complex applications including the evaluation of propulsion systems performances.