For a four-cylinder diesel engine with a conventional turbocharger, it was matched by a variable nozzle turbocharger (VNT), and the response of VNT turbine was investigated at the given 1000 rpm engine speeds. To verify the better response of the matched VNT turbine at 1000 rpm engine speed, the engine software AVL-BOOST, in present paper, was used to model the working process of engine, the relevant stable parameters such as the velocity, pressure, temperature and flux of VNT turbine before and after its operation were obtained. The 3-Dimensional solid modeling software was used to model the internal flow field of VNT turbine, which was also numerically simulated by CFD software Fluent. As thus, the 3-Dimensional viscous flow characteristics of the internal flow field were obtained. The pressure, temperature, velocity distribution of entire internal fluid and the nozzle ring field were summarized according to the numerical simulation, implying the response of VNT turbine can be increased at low engine speeds. The full research results can provide the fundaments for optimizing the best matching of the VNT and the engine.