In a magnetic resonance method and apparatus for time-of-flight vascular imaging, a magnetic field is applied to an imaging volume and an inflow volume, from which liquid enters into the imaging volume, of an examination person. The imaging volume is excited by an RF pulse, which fulfills a magnetization transfer function and a fat saturation function, while the magnetic field is being applied. The RF pulse has a frequency distribution whose frequencies are higher than the center frequency of water in the imaging volume, and that includes the fat frequency in the imaging volume. The magnetic field has a field distribution with an apex with essentially no spatial gradient in the imaging volume and having a higher spatial gradient in the inflow volume, so that the center frequency of water in the inflow volume is shifted in the direction of lower frequencies and is no longer affected by the RF pulse.