Tandem rolling mill for continuously rolling a strip with a plurality of rolling stands, the tandem rolling mill comprising a control device, the control device comprising: a roll force prediction error calculation section estimating roll forces in the respective rolling stands, utilizing rolling actual values acquired in the respective rolling stands when the strip is rolled, and calculating roll force prediction errors in the respective rolling stands on the basis of roll force actual values acquired in connection with the rolling; a roll force balance consistency value calculation section calculating balance consistency values with respect to the respective rolling stands, the balance consistency values indicating the degree of differences between the roll force prediction errors in the respective rolling stands and the roll force prediction errors in rolling stands neighboring to the respective rolling stands, which are calculated by the roll force prediction error calculation section; and a roll force compensation value calculation section calculating roll force compensation values in the respective rolling stands from the roll force prediction errors in the respective rolling stands, which are calculated by the roll force prediction error calculation section, and the roll force balance consistency values in the respective rolling stands, which are calculated by said roll force balance consistency value calculation section; characterized by a control reference setup section estimating roll forces in the respective rolling stands regarding a strip to be next rolled, compensating the estimated roll forces in the respective rolling stands with the roll force compensation values in the respective rolling stands which are calculated in said roll force compensation value calculation section, and calculating screw-down positions, which are to be set to the respective rolling stands, by using the compensated roll forces. a roll force prediction error calculation section estimating roll forces in the respective rolling stands, utilizing rolling actual values acquired in the respective rolling stands when the strip is rolled, and calculating roll force prediction errors in the respective rolling stands on the basis of roll force actual values acquired in connection with the rolling; a roll force balance consistency value calculation section calculating balance consistency values with respect to the respective rolling stands, the balance consistency values indicating the degree of differences between the roll force prediction errors in the respective rolling stands and the roll force prediction errors in rolling stands neighboring to the respective rolling stands, which are calculated by the roll force prediction error calculation section; and a roll force compensation value calculation section calculating roll force compensation values in the respective rolling stands from the roll force prediction errors in the respective rolling stands, which are calculated by the roll force prediction error calculation section, and the roll force balance consistency values in the respective rolling stands, which are calculated by said roll force balance consistency value calculation section; a control reference setup section estimating roll forces in the respective rolling stands regarding a strip to be next rolled, compensating the estimated roll forces in the respective rolling stands with the roll force compensation values in the respective rolling stands which are calculated in said roll force compensation value calculation section, and calculating screw-down positions, which are to be set to the respective rolling stands, by using the compensated roll forces.