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A process for producing an R-Fe-B rare-earth sintered magnet containing at least one lightweight rare-earth element (RL) (at least one of Nd and Pr) and at least one heavy rare-earth element (RH) (at least one of Dy and Tb). An R-Fe-B rare-earth sintered magnet is prepared in which when the contents of the rare-earth element(s), oxygen, carbon, and nitrogen are expressed by X (mass%), ZO (mass%), ZC (mass%), and ZN (mass%), respectively, and ZO+ZC+ZN is expressed by Y (mass%), then the contents satisfy the relationships (0.114X-3.17)=Y=(0.157X-4.27), 0O=0.5, 0C=0.1, and 0N=0.1. Subsequently, a layer rich in the heavy rare-earth element (RH) is formed on the surface of the R-Fe-B rare-earth sintered magnet. The coated R-Fe-B rare-earth sintered magnet is heat-treated at a temperature of 700 to 1, 100°C while holding the magnet with a holding member.