The invention concerns a security element having a magnetic coding consisting of magnetic coding elements. At least one of the magnetic coding elements has a grid-shaped magnetic region which is formed by a plurality of mutually parallel grid strips made of magnetic material which respectively have a magnetic anisotropy. The grid strips lead, through their magnetic anisotropy, to the magnetization direction of the coding element being able to differ from the direction of the applied magnetic field. Since the resultant magnetic signals that the grid-shaped magnetic regions deliver cannot be simulated by conventional magnetic regions, said coding elements increase the anti-forgery security of the security element.