The invention relates to a method for cutting a sheet metal blank having a predetermined contour from a metal strip that is continuously conveyed in a transport direction (x). The method includes the following steps of providing at least one laser cutting apparatus having at least one laser cutting head that can be moved both in the transport direction and in a y-direction extending perpendicularly thereto, and a control device for controlling a movement of the laser cutting head in accordance with a control program generating the predetermined contour; continuously measuring a path (ΔXstrip) of the metal strip in relation to the transport direction by means of a path measurement device provided upstream of the laser cutting apparatus; and dynamically calculating the movements of the at least one laser cutting head by means of the control program with use of the measured path values provided by the path measuring device.