The invention proposes a method for the purification of exhaust gases which are generated by a diesel engine with a charging turbine, and a special device for carrying out said method. The device comprises, in the flow direction of the exhaust gas, a dosing device for a reducing agent from a reducing agent reservoir (2), an SCR catalytic converter (3), an oxidation catalytic converter (4) and a diesel particle filter (5). The system is particularly suitable for the purification of the exhaust gases of diesel vehicles in which engines with a turbocharger (charging turbine (1)) and an exhaust-gas recirculation device are used, which engines generate exhaust gases which, in addition to carbon monoxide, hydrocarbons and particles, have nitrogen oxides with an NO2/NOX ratio of between 0.3 and 0.7.