A method for producing high-quality grain oriented magnetic steel sheet utilizes a steel alloy with (in wt %) Si: 2.5-4.0%, C: 0.02-0.10%, Al: 0.01-0.065%, N: 0.003-0.015%. The method utilizes an operational sequence whose individual steps (secondary metallurgical treatment of the molten metal, continuous casting of the molten metal into a strand, dividing of the strand into thin slabs, heating of the thin slabs, continuous hot rolling of the thin slabs into hot strip, cooling of the hot strip, coiling of the hot strip, cold rolling of the hot strip into cold strip, recrystallization and decarburization annealing of the cold strip, application of an annealing separator, final annealing of the recrystallization and decarburization annealed cold strip to form a Goss texture) are harmonized with one another, so that a magnetic steel sheet with optimized electromagnetic properties is obtained using conventional apparatus.