In a method for producing a grain-oriented electrical steel sheet by hot rolling a steel slab comprising C: 0.04-0.12 mass %, Si: 1.5-5.0 mass %, Mn: 0.01-1.0 mass %, sol. Al: 0.010-0.040 mass %, N: 0.004-0.02 mass %, one or two of S and Se: 0.005-0.05 mass % in total of S and Se, cold rolling, and subjecting to primary recrystallization annealing and further to final annealing, a content ratio of sol. Al to N in the steel slab (sol. Al/N) and a final thickness d (mm) satisfy an equation of 4d+1.52≤sol. Al/N≤4d+2.32, and the steel sheet in the heating process of the final annealing is held at a temperature of 775-875° C. for 40-200 hours and then heated in a temperature region of 875-1050° C. at a heating rate of 10-60° C./hr to preform secondary recrystallization and purification treatment, whereby an extremely-thin grain-oriented electrical steel sheet having a low iron loss and a small deviation in coil is produced.