A process for producing a grain-oriented electrical steel sheet having both improved magnetic properties and properties improved glass film wherein a hot-rolled steel strip containing from 0.030 to 0.100 wt % of C, from 2.5 to 4.0 wt % of Si, and either or both of a sulfide and a nitride as an inhibitor against growth of primary grains is, if necessary annealed, and cold-rolled once or twice or more with an intermediate annealing, to obtain a final gauge, a decarburization annealing is thereafter carried out, resulting in formation of an oxide film comprising SiO.sub.2 on the surface of the steel sheet an annealing separator mainly comprising MgO is applied on the oxide film, and, a finishing annealing is thereafter carried out, characterized in that the annealing separator further comprises from 0.05 to 2.0 parts by weight of antimony sulfate based on 100 parts by weight of the magnesium oxide, and at least one chloride selected from the group consisting of Sb, Sr, Ti, and Zr chlorides in a chlorine amount of from 5 to 20% by weight based on 100% of the chlorides and the antimony sulfate.