The manipulation of a ferromagnetic domain wall using a Spin-Polarized Scanning Tunneling Microscope (SP-STM) has been studied by means of a Landau-Lifshitz-Gilbert spin dynamics. We demonstrate that a ferromagnetic transverse domain wall can be shifted by the injection of a spin-polarized tunnel current. Depending on the tip polarization different scenarios occur where the domain wall will be pushed or pulled. Further, we show the possibility to reverse the magnetization inside the domain wall by using the current of the SP-STM tip and describe the predictions for the model system Fe/W(110). Copyright (C) EPLA, 2012