A CoPt- or FePt-alloy magnetic material in which a temperature to transform into an L1.sub.0-ordered alloy is reduced and magnetic anisotropy energy is controlled, and a method for manufacturing the magnetic material are provided. In a CoPt- or FePt-alloy magnetic material obtained according to plating, at least one element of Cu, Ni and B is contained with an atomic percent equal to or more than 1% and equal to or less than 40%. A method for manufacturing a magnetic material includes a step of depositing a magnetic material in which at least one element of Cu, Ni and B is contained in a CoPt- or FePt-alloy magnetic material with an atomic percent equal to or more than 1% and equal to or less than 40%, from a plating solution, and a step of transforming the deposited magnetic material into an L1.sub.0-ordered alloy according to annealing at a temperature equal to or lower than 500.degree. C.