In a method and magnetic resonance (MR) system to generate an MR phase contrast angiography image of an examination subject, velocity-dependent phase information is impressed on moving spins in the examination subject by switching additional bipolar coding gradients that are in addition to the basic phase coding and readout gradients. For the creation of the MR phase contrast angiography images, the MR signals of the examination subject are read out in raw data space with a non-Cartesian acquisition pattern during a readout gradient. The additional bipolar coding gradients switched such that they proceed along a coordinate system that corresponds to the non-Cartesian acquisition pattern, and such that a coordinate axis of this coordinate system proceed along the readout gradient.