Method for continuous casting of a metal strip with a continuous casting plant, which serves for casting the metal strip in a casting direction and comprises: a mould which is arranged on an arc below the horizontal to be turned in such a way that a centre line of the mould includes a first angle (α) with the horizontal, an arcuate strip guide, which is downstream of the mould in casting direction, in the form of a curved part in which the metal strip is guided at a strip guide curve radius, wherein the curved part is constructed in the form of an oval curve and an angle included by the curved part is at least 66°, a horizontal strip guide, which is downstream of the curved part in casting direction in the form of a horizontal part, wherein the strip guide goes over at a tangential point from the curved part to the horizontal part, a straightening zone, which is provided in the curved part of the strip guide, with at least one straightening point, wherein the metal strip is straightened in the straightening zone from the strip guide curve radius (RSt), wherein as seen in casting direction the start of the straightening zone is spaced from the centre line of the mould by a second angle (β) on a curve, wherein the second angle (β) is 30° to 60°, wherein the method is characterised in that the first angle (α) is greater than 0° so that the mould is turned into the curved part of the strip guide, wherein the first angle (α) is up to 20°, within the straightening zone the number of straightening points is between 7 and 20, the straightening of the metal strip in the straightening zone takes place in a temperature range of the outer strand thereof, which range lies above the ductility minimum of the steel quality to be cast and the surface temperature of the metal strip at the tangential point lies above the secondary ductility minimum of the steel quality to be cast. a mould which is arranged on an arc below the horizontal to be turned in such a way that a centre line of the mould includes a first angle (α) with the horizontal, an arcuate strip guide, which is downstream of the mould in casting direction, in the form of a curved part in which the metal strip is guided at a strip guide curve radius, wherein the curved part is constructed in the form of an oval curve and an angle included by the curved part is at least 66°, a horizontal strip guide, which is downstream of the curved part in casting direction in the form of a horizontal part, wherein the strip guide goes over at a tangential point from the curved part to the horizontal part, a straightening zone, which is provided in the curved part of the strip guide, with at least one straightening point, wherein the metal strip is straightened in the straightening zone from the strip guide curve radius (RSt), wherein as seen in casting direction the start of the straightening zone is spaced from the centre line of the mould by a second angle (β) on a curve, wherein the second angle (β) is 30° to 60°, wherein the method is characterised in that the first angle (α) is greater than 0° so that the mould is turned into the curved part of the strip guide, wherein the first angle (α) is up to 20°, within the straightening zone the number of straightening points is between 7 and 20, the straightening of the metal strip in the straightening zone takes place in a temperature range of the outer strand thereof, which range lies above the ductility minimum of the steel quality to be cast and the surface temperature of the metal strip at the tangential point lies above the secondary ductility minimum of the steel quality to be cast.