In a method and apparatus for time-resolved acquisition of magnetic resonance (MR) data, an examination subject is continuously moved through the examination region of an MR scanner, and MR signals are acquired. Prior to the acquisition of MR signals, a phase coding that corresponds to a position for data entry in k-space is carried out. An interruption of the movement of the subject takes place at a predetermined table position, and the acquisition of MR signals is continued over the course of a predetermined time period, while the subject is at rest in the predetermined position. At least while the subject is at rest, the phase coding causes acquisition of a predetermined number of MR signals for filling a first region of k-space to alternate with MR data and a predetermined number of MR signals for filling a second region of k-space.