The invention relates to a method for continuously or semi-continuously producing hot steel strip which, starting from a slab (3) guided through a slab-guiding device (6), is rolled in a preferably at least four-stand roughing train (4) to form an intermediate strip (3') and, in a further sequence in a finish rolling train (5), into a final strip (3''). According to the invention, the thickness of a slab (3) cast in a die (2) is reduced in the liquid core reduction (LCR) process by means of the adjoining slab-guiding device to between 85 and 120 mm, preferably between 95 and 115 mm, a slab support length (L) measured between the meniscus (13), i.e., the bath level, of the die (2) and an end (14) of the slab-guiding device (6) facing the roughing train (4) being greater than or equal to 18.5 m, a casting speed (vc) ranging from 3.8 to 7 m/min, and slabs (3) of different thicknesses (d) being cast as a function of given casting speeds. Using the casting parameters according to the invention, high-quality finishing is ensured with exceptionally high production capacities.