A method for forming a multilayer plastic sheet material is disclosed, where a first polymer mass is melted under pressure and is passed through an extruder head at a specified discharge rate in the form of a plastic strand in sheet form that is provided with one or more layers so that a multilayer plastic strand is formed. This is passed to two or more rolls of a finishing stand that processes the multilayer plastic strand into a sheet. After the plastic strand in sheet form leaves the extruder head, it is first passed between a top roll and a bottom roll of a roughing stand. The speed of the rolls of the finishing stand and the rolls of the roughing stand is synchronized with the discharge rate of the plastic strand in sheet form from the extruder head, so that the plastic strand is processed without stress.