A method for producing a grain-oriented electrical steel sheet by subjecting a slab of an inhibitor-less ingredient system containing C: 0.002-0.10 mass %, Si: 2.5-6.0 mass %, Mn: 0.010-0.8 mass % and extremely decreased Al, N, Se and S to hot rolling, hot band annealing, cold rolling, decarburization annealing, application of an annealing separator and finish annealing, when a certain temperature within range of 700-800° C. in a heating process of decarburization annealing is T1 and a certain temperature as a soaking temperature within a range of 820-900° C. is T2, a heating rate R1 between 500° C. and T1 is set to not less than 100° C./s and heating rate R2 between T1 and T2 is set to not more than 15° C./s, whereby grain-oriented electrical steel sheet having excellent iron loss property and coating peeling resistance is obtained in the inhibitor-less ingredient system while ensuring decarburization property even when rapid heating is performed during decarburization annealing.