The invention concerns an exhaust gas turbocharger (1) having a shaft (2) on which a turbine wheel (4) and a compressor wheel (3) sit and which is guided in radial bearings (5, 6) and in at least one axial bearing (9), which is characterized in that the radial bearings (5, 6) are embodied as passive magnetic bearings having permanent magnets (23 through 31) generating axial magnetic fluxes; and the axial bearing (9) is embodied as an active magnetic bearing having an electromagnet (55), an axial sensor, and a controller for controlling the electrical current impinging upon the electromagnet (55).