In a magnetic (MR) method and apparatus to generate an MR angiography image of a vascular structure of an examination region, spins in the examination region are saturated by an RF saturation pulse to cause these spins to produce a lower signal intensity in the angiography image than spins that flow from a major artery via a feed artery into the examination region, which are not saturated by the RF saturation pulse. A saturation volume is established that is saturated by the RF saturation pulse in order to be able to depict substantially all the vascular structure, such that the major artery and the tissue surrounding the major artery are not situated at the level of the branching of the feed artery in the saturation volume. The MR angiography image is generated using the established saturation volume.