The present invention is to provide a tandem cold rolling method conducted by a tandem cold rolling mill, the number of rolling stands of which is not less than 4, wherein a rolling tension, the intensity of which is not lower than 30%, preferably not lower than 40% of the deformation resistance of material to be rolled, is given at least by the final rolling stand. The present invention is also to provide a tandem cold rolling mill satisfying the inequality of JC≧(0.375{overscore (h)}+0.275)JM, wherein the average thickness of a product sheet on the delivery side of the final rolling mill is {overscore (h)}, and an output of one coiler arranged on the delivery side of the tandem cold rolling mill, or a sum of an output of one coiler on the delivery side and an output of the bridle roller on the delivery side is JC, and an output of the main motor of the final rolling stand of the tandem cold rolling mill is JM.