A magnetic memory apparatus which comprises at least a magnetic recording medium, a driving means for turning the magnetic recording medium, at least a magnetic head for reading and writing to and from the magnetic recording medium and at least a portion of magnetic pole is made of a ferromagnetic metal, a magnetic head access system in operative connection with the magnetic head for positioning said magnetic head with respect to said magnetic recording medium, and a read and write system operatively connected with the magnetic head, wherein the magnetic recording medium is a magnetic recording medium for longitudinal recording which comprises a nonmagnetic substrate, a nonmagnetic metallic underlayer comprising at least one metal element selected from the group consisting of Cr, Mo, W, V, Nb and Ta, formed on the nonmagnetic substrate, and a magnetic layer of Co-based alloy, formed on the nonmagnetic metallic underlayer, the magnetic layer comprising at least one first additive element selected from a group consisting of Pt and Ir, at least one second additive element selected from the group consisting of Ti, Zr, Hf, V, Nb, Ta, Cr, Mo, W, Ge and Si, and oxygen.