NOVELTY - The rare earth permanent magnet, preferably in the form of sintered magnet body, has alloy composition of predetermined formula. The rare earth permanent magnet is obtained by absorption of fluoride of terbium and dysprosium through the surface containing rare earth element selected from neodymium, dysprosium and praseodymium. The magnet body has a center and a surface, and includes a surface layer having higher coercive force than magnet body interior.    USE - Rare earth permanent magnet, preferably in the form of sintered magnet body. Uses include but are not limited to motor, pickup actuator, household appliance, industrial equipment, electric automobile, and wind power generator.    ADVANTAGE - The rare earth permanent magnet has a surface layer with higher coercive force than the interior, thus efficiently improving heat resistance of the rare earth permanent magnet.    DETAILED DESCRIPTION - The formula for alloy composition of rare earth permanent magnet is R1aR2bTcAdFeOfMg where R1 is an element one selected from rare earth elements inclusive of scandium or yttrium and exclusive of terbium and dysprosium, R2 is terbium and/or dysprosium, T is iron and/or cobalt, A is boron and/or carbon, F is fluorine, O is oxygen, and M is aluminum, copper, zinc, indium, silicon, phosphorus, sulfur, titanium, vanadium, chromium, manganese, nickel, gallium, germanium, zirconium, niobium, molybdenum, palladium, silver, cadmium, tin, antimony, hafnium, tantalum or tungsten, and a to g are indices indicating atom percents of corresponding elements in the alloy. The R2 concentration contained in grain boundaries is on average higher than that contained in primary phase grains. R2 is distributed such that the concentration increases on average from the center toward magnet body surface. The oxyfluoride of R1,R2 is present at grain boundaries in a grain boundary region that extends from the magnet body surface to a depth of at least 20 micrometers. An INDEPENDENT CLAIM is included for a fabricating method of rare earth permanent magnet, preferably in the form of sintered magnet body.    DESCRIPTION OF DRAWING(S) - The drawing is a graph in which coercive force at varying sites of manufactured magnet body and machined and heat treated magnet body is plotted with respect to a depth from the magnet surface.