Method for producing a grain-oriented electrical steel strip, comprising at least the following steps: melting a steel melt containing (in each case in wt.%) 2.0 to 4.0 Si, 0.010 to 0.100 C, 0.0200 to 0.0400 AI sl (where AI sl = acid-soluble AI) and 0.0020 up to 0.02 N, and in each case optionally up to 0.5 Cu, up to 0.060 S and likewise optionally in each case up to 0.3 Cr, Mn, Ni, Mo, P, As, Sn, Sb, Se, Te, B or Bi, the remainder being iron and unavoidable impurities, casting the steel melt to form a preliminary material, for example to form a slab, thin slab or a cast strip, hot rolling the preliminary material to form a hot strip, coiling the hot strip to form a coil, optionally annealing the hot strip cold rolling the hot strip in one or more cold rolling steps to form a cold strip, annealing the cold strip from step at a temperature of 700 to 950°C, applying an annealing separator layer to at least one surface of the cold strip from step, high-temperature annealing of the cold strip coated with the annealing separator to form a forsterite layer on the surface of the annealed cold strip, optionally applying an insulating layer onto the surface of the cold strip having the forsterite layer, and optionally final annealing the cold strip, characterized in that step is carried out in an atmosphere of which the dew point DP is 20°C to 90°C and satisfies the following equation Alsl / N melt * 10 < DP < Alsl / N melt * 30 so that after step the material has a nitrogen content N of 70 to 180 ppm, which satisfies the following equation 2 / 3 * Alsl * 14 / 27 − 0.7 * DP < N < Alsl * 14 / 27 + N melt and during the high-temperature annealing according to step in the temperature range of 700 - 900°C, the nitrogen content of the electrical steel strip is controlled such that an N content in the electrical steel strip is less than 14/27 x Al sl, where Alsl denotes aluminum content (acid-soluble) in the melt in ppm, N(melt) denotes nitrogen content in the melt in ppm, DP denotes dew point in °C and N denotes nitrogen content in the material after step in ppm. melting a steel melt containing (in each case in wt.%) 2.0 to 4.0 Si, 0.010 to 0.100 C, 0.0200 to 0.0400 AI sl (where AI sl = acid-soluble AI) and 0.0020 up to 0.02 N, and in each case optionally up to 0.5 Cu, up to 0.060 S and likewise optionally in each case up to 0.3 Cr, Mn, Ni, Mo, P, As, Sn, Sb, Se, Te, B or Bi, the remainder being iron and unavoidable impurities, casting the steel melt to form a preliminary material, for example to form a slab, thin slab or a cast strip, hot rolling the preliminary material to form a hot strip, coiling the hot strip to form a coil, optionally annealing the hot strip cold rolling the hot strip in one or more cold rolling steps to form a cold strip, annealing the cold strip from step at a temperature of 700 to 950°C, applying an annealing separator layer to at least one surface of the cold strip from step, high-temperature annealing of the cold strip coated with the annealing separator to form a forsterite layer on the surface of the annealed cold strip, optionally applying an insulating layer onto the surface of the cold strip having the forsterite layer, and optionally final annealing the cold strip, characterized in that step is carried out in an atmosphere of which the dew point DP is 20°C to 90°C and satisfies the following equation Alsl / N melt * 10 < DP < Alsl / N melt * 30 so that after step the material has a nitrogen content N of 70 to 180 ppm, which satisfies the following equation 2 / 3 * Alsl * 14 / 27 − 0.7 * DP < N < Alsl * 14 / 27 + N melt and during the high-temperature annealing according to step in the temperature range of 700 - 900°C, the nitrogen content of the electrical steel strip is controlled such that an N content in the electrical steel strip is less than 14/27 x Al sl, where Alsl denotes aluminum content (acid-soluble) in the melt in ppm, N(melt) denotes nitrogen content in the melt in ppm, DP denotes dew point in °C and N denotes nitrogen content in the material after step in ppm. characterized in that step is carried out in an atmosphere of which the dew point DP is 20°C to 90°C and satisfies the following equation Alsl / N melt * 10 < DP < Alsl / N melt * 30 so that after step the material has a nitrogen content N of 70 to 180 ppm, which satisfies the following equation 2 / 3 * Alsl * 14 / 27 − 0.7 * DP < N < Alsl * 14 / 27 + N melt and during the high-temperature annealing according to step in the temperature range of 700 - 900°C, the nitrogen content of the electrical steel strip is controlled such that an N content in the electrical steel strip is less than 14/27 x Al sl, where Alsl denotes aluminum content (acid-soluble) in the melt in ppm, N(melt) denotes nitrogen content in the melt in ppm, DP denotes dew point in °C and N denotes nitrogen content in the material after step in ppm. Alsl denotes aluminum content (acid-soluble) in the melt in ppm, N(melt) denotes nitrogen content in the melt in ppm, DP denotes dew point in °C and N denotes nitrogen content in the material after step in ppm.