In a method for producing a grain-oriented electrical steel sheet by comprising a series of steps of hot rolling a raw steel material containing C: 0.002-0.10 mass %, Si: 2.0-8.0 mass % and Mn: 0.005-1.0 mass % to obtain a hot rolled sheet, subjecting the hot rolled steel sheet after or without hot band annealing to one stage cold rolling or two or more stage cold rollings including an intermediate annealing therebetween to obtain a cold rolled sheet having a final sheet thickness, subjecting the cold rolled sheet to decarburization annealing combined with primary recrystallization annealing, applying an annealing separator to the steel sheet surface and then subjecting to a final annealing, when rapid heating is performed at a rate of not less than 50° C./s in a range of 200-700° C. of the decarburization annealing, the cold rolled sheet is subjected to holding at any temperature of 250-600° C. for 1-10 seconds thereof to thereby produce a grain-oriented electrical steel sheet being low in the iron loss and small in the deviation of the iron loss value.