In a method for producing a grain-oriented electrical steel sheet by hot rolling a steel slab having a chemical composition including C: 0.001˜0.10 mass %, Si: 1.0˜5.0 mass %, Mn: 0.01˜0.5 mass %, Al: less than 0.0100 mass %, each of S, Se, O and N: not more than 0.0050 mass % and the remainder being Fe and inevitable impurities, subjecting the resulting hot rolled sheet to a single cold rolling or two or more cold rollings sandwiching an intermediate annealing therebetween to a final thickness, subjecting to a primary recrystallization annealing, applying an annealing separator thereto and then subjecting to a finish annealing, a zone of 550˜700° C. in a heating process of the primary recrystallization annealing is rapidly heated at an average heating rate of 40˜200° C./s, while any temperature zone of 250˜550° C. is kept at a heating rate of not more than 10° C./s for 1˜10 seconds, whereby secondary recrystallized grains are refined to obtain a grain-oriented electrical steel sheet stably realizing a low iron loss.