In a method and apparatus for generation of magnetic resonance (MR) images based on the TrueFISP sequence with simultaneous acquisition of the MR images of a number of parallel slices of a measurement subject the number of the slices N to be acquired in the measurement subject is established whereby N is at least, the number of the phase coding lines MA per raw data matrix and slice N are established, with the requirement that the quotient of MA and N is a natural number, the repetition time TR, the radio-frequency pulse duration RF and the flip angle .alpha. are established, of each raw data matrix is sub-divided into S separate segments to be measured, whereby S is equal to N or a whole-number multiple of N, with the requirement that the quotient Q of MA and S that corresponds to the number of the phase coding lines per segment is a natural number, data are acquired for all segments S of all slices N, whereby the time duration, in msec, T.sub.Seg for the acquisition of the data of each segment is T Seg = TR + RF + MA S TR ,and the measurement of all segments S of all slices N is implemented such that the time duration T.sub.Relax is T.sub.Relax=(N-1)T.sub.Seg [msec] for the relaxation of the magnetization M.sub.Z with the relaxation constant T.sub.1 in a slice N that corresponds to the time span from the end of the measurement of a first segment up to the beginning of the measurement of a second segment of the same slice.