A multi-element made magnetic head having a plurality of magnetoresistive elements of a ferromagnetic material such as permalloy formed on a base of a ferromagnetic material such as ferrite is disclosed. The ferromagnetic material base is formed with a groove, which is common for all elements made extends parallel to the recording medium. It is filled with a non-magentic material such as glass, and the individual magnetoresistive elements are disposed so as to bridge the groove and are not adapted to be in direct frictional contact with the recording medium for reducing their wear. The magnetoresistive elements are also made to extend perpendicular to the recording medium so as to increase the head density or reduce the head pitch.