Abstract: A method of and a device for controlling a counter of a rolled material on a multi-high rolling mill with which method and device very accurate shape control can be attained with certainty and in high responsibility. A strip shape of a rolled material in its widthwise direction on the outgoing side of the rolling mill is detected by a strip shape meter, and the detected shape and a strip thickness are synthetically evaluated using a total performance index. Operation amounts for a strip shape controlling actuator and a strip thickness controlling actuator which make the value of the total performance index minimum are always found out, and the actuators are controlled simultaneously in accordance with the operation amounts to control the strip shape of the rolled material. The apparatus comprises a saddle receiver the vertical position of which is controlled by a roll gap controlling device in accordance with an estimated value to change the gap between upper and lower work rolls of the rolling mill.