A magnetic head comprising a recording head including first and second magnetic cores sandwiching therebetween a recording gap, and a writing coil for generating a magnetic flux in said first and second magnetic cores and a writing magnetic field in said recording gap, said second magnetic core including a first magnetic layer made of a first magnetic material and a second magnetic layer formed on said first magnetic layer, said first magnetic material including a main component thereof expressed by a general formula CoNiFeX, wherein X is at least one element selected from the group consisting of Cr, Ti, V, Ru, Rh, Pd, Os, Ir and Pt, and wherein weight percentages a, b, c and d of Co, Ni, Fe and X contents, respectively, in said main component are such that 40%≦a≦10%, 5%≦b≦20%, 10% ≦c≦30%, and 0%<d≦10%.