The invention relates to a method for cutting a sheet metal blank (2) with a predetermined profile (K) from a sheet metal strip (1) conveyed continuously in a conveying direction (x), said method comprising the following steps : at least one laser cutting device is provided with at least one laser cutting head (L, L1, L2, L3) movable in said conveying direction (x) and in a y direction perpendicular to said conveying direction, and also having control means for controlling movement of said laser cutting head (L, L1, L2, L3) along a cutting path corresponding to said predetermined profile (K), by a first distance arranged upstream of said laser cutting means The measuring device continuously measures the first distance (I1) between the first strip edge of the metal sheet strip (1) and the fixed first measuring point in the y direction, and sends the measured first distance (I1) to the control device a distance value, using the predetermined cutting path and the measured first distance value, calculating a corrected cutting path by the control program of the control device, and moving the laser cutting machine along the corrected cutting path heads (L, L1, L2, L3) to create slits in said sheet metal strip (1).