In a method for correcting artifacts in magnetic resonance images that are caused, in a magnetic resonance device, by transverse magnetic field components that are oriented transverse to a basic magnetic field of the magnetic resonance device, wherein the magnetic resonance device has a gradient coil system for generating magnetic gradient fields and a high frequency transmitter for exciting magnetic resonance signals, during a measurement sequence a frequency correction value is fed to the high frequency transmitter for a correction area, this frequency correction value being determined dependent on the transverse magnetic field components, and/or an additional gradient field is produced for compensating the transverse magnetic field components.