A nitride-type, rare earth magnet material having a basic composition represented by RalphaT100-(alpha+beta+gamma+delta)MbetaBgammaNdelta (atomic %), wherein R is at least one rare earth element including Y, as a rare earth element Sm must be present, T is Fe alone or a combination of Fe and Co and/or Ni, M is at least one element selected from the group consisting of Al, Ti, V, Cr, Mn, Cu, Ga, Zr, Nb, Mo, Hf, Ta, W and Zn, 6<=alpha<=15, 0.5<=beta<=10, 0<=gamma<=4, and 4<=delta<=30, which is substantially composed of a hard magnetic phase of an R2T17-type structure having an average crystal grain size of 0.01-1 mum, an average area ratio of alpha-Fe being 5% or less.