Method for the continuous production of a coiled hot strip of steel in a combined casting-rolling installation, wherein the combined casting-rolling installation comprises - a continuous casting installation for producing a continuous thin slab strand (3, 3'); - a rolling line having a plurality of roll stands (F1...F4) for hot rolling the thin slab strand (3, 3') to the hot strip; - a cooling section for cooling the hot strip; - a set of shears for transversely separating the hot strip; and - a coiling unit for coiling the hot strip; said method comprising the following method steps: - continuously casting a steel melt in a linear permanent mould of the continuous casting installation to the thin slab strand (3, 3'), wherein the thin slab strand (3, 3') when exiting the linear permanent mould has a liquid core, a thickness of 45 to 70 mm, preferably 55 to 65 mm, and a width of 900 to 2300 mm, preferably 1100 to 1900 mm; - supporting, guiding, and reducing in thickness the thin slab strand (3, 3') in a strand guide of the continuous casting installation, wherein the thickness-reduced thin slab strand (3, 3') has a thickness h of 35 to 52 mm, preferably 40 to 50 mm, a casting speed v C, and a specific throughput D = h.v C of 0.45m 2 /min ≥ D ≥ 0.27 m 2 /min; - hot-rolling the continuous thickness-reduced thin slab strand in the rolling line, wherein the thin slab strand exclusively at the casting heat emanating from the latter is rolled by way of at least three to five, particularly preferably by way of four, rolling passes to the hot strip having a thickness of 2.5 to 10 mm, and the last rolling pass is performed in the austenitic temperature range of the steel; - cooling the hot strip in the cooling section; - transversely separating the cooled hot strip; and - coiling the hot strip to coils in the coiling unit. - a continuous casting installation for producing a continuous thin slab strand (3, 3'); - a rolling line having a plurality of roll stands (F1...F4) for hot rolling the thin slab strand (3, 3') to the hot strip; - a cooling section for cooling the hot strip; - a set of shears for transversely separating the hot strip; and - a coiling unit for coiling the hot strip; - continuously casting a steel melt in a linear permanent mould of the continuous casting installation to the thin slab strand (3, 3'), wherein the thin slab strand (3, 3') when exiting the linear permanent mould has a liquid core, a thickness of 45 to 70 mm, preferably 55 to 65 mm, and a width of 900 to 2300 mm, preferably 1100 to 1900 mm; - supporting, guiding, and reducing in thickness the thin slab strand (3, 3') in a strand guide of the continuous casting installation, wherein the thickness-reduced thin slab strand (3, 3') has a thickness h of 35 to 52 mm, preferably 40 to 50 mm, a casting speed v C, and a specific throughput D = h.v C of 0.45m 2 /min ≥ D ≥ 0.27 m 2 /min; - hot-rolling the continuous thickness-reduced thin slab strand in the rolling line, wherein the thin slab strand exclusively at the casting heat emanating from the latter is rolled by way of at least three to five, particularly preferably by way of four, rolling passes to the hot strip having a thickness of 2.5 to 10 mm, and the last rolling pass is performed in the austenitic temperature range of the steel; - cooling the hot strip in the cooling section; - transversely separating the cooled hot strip; and - coiling the hot strip to coils in the coiling unit.