A magnetic field array for measuring spatial components of a magnetic field is proposed, in which with at least one magnetic field sensor utilizing the XMR effect in a magnetoresistive film structure, a further component, perpendicular or nonparallel to the film structure of the magnetic field to be detected, is detectable in that at least one flux concentrator is disposed above the film structure in such a way that the magnetic field lines in the peripheral regions of the flux concentrator are deflectable in such a way that there, the field lines embody a horizontal component of the magnetic field.