In a method for determination of the transverse relaxation time T2* in MR data, the T2* relaxation is detected in a measurement volume and the transverse relaxation time is determined from the time curve of the magnetization in the measurement volume. In order to be able to more reliably determine the transverse relaxation time T2*, a local magnetic field in the measurement volume is determined and the transverse relaxation time is corrected dependent on the local magnetic field such that a corrected transverse relaxation time is obtained. The local magnetic field is determined by determination of the phase curve of the magnetization from multiple predetermined echo times, the echo times having different intervals (.DELTA.TE) from one another, and determination of the local magnetic field from the phase curve of the magnetization. The interval between the echo times at least at one point in the measurement volume is adapted such that the local magnetic field can be determined without phase compression.