The present invention provides a method for producing a grain-oriented
silicon steel sheet not having inorganic mineral films by using an
annealing separator capable of preventing the inorganic mineral films
composed of forsterite (Mg.sub.2 SiO.sub.4), and so on, from forming
during final annealing, comprising the steps of decarburization annealing
followed by coating of annealing separator and final annealing, wherein
alumina powder calcined at a calcination temperature of 900 to
1,400.degree. C., or further having a BET specific surface area of 1 to
100 m.sup.2 /g, an oil absorption of 1 to 70 ml/100 g, and/or having a
gamma ratio of 0.001 to 2.0, is used as the annealing separator. Magnesia
having a BET specific surface area of 0.5 to 5 m.sup.2 /g may be added to
said alumina powder.