A cold rolling apparatus that heats a sequentially transferred steel sheet by using a heating device, and sequentially cold-rolls the steel sheet after being heated by using a cold rolling mill, the cold rolling apparatus comprising: a meandering-movement correction device arranged on an upstream side of the heating device in a transfer direction of the steel sheet, and configured to correct a meandering movement of the steel sheet transferred toward the heating device; a meandering-movement suppression device arranged between the heating device and the cold rolling mill, and configured to suppress a meandering movement of the steel sheet attributed to the cold rolling of the steel sheet by using the cold rolling mill; and a controller configured to: control the meandering-movement correction device to perform a meandering movement correction operation to correct the meandering movement of the steel sheet transferred toward the heating device; and control the meandering-movement suppression device to perform a meandering movement suppression operation to suppress the meandering movement of the steel sheet attributed to the cold rolling of the steel sheet; wherein the controller controls the meandering-movement suppression device to perform the meandering movement suppression operation at a timing when the controller controls the meandering-movement correction device to perform the meandering movement correction operation. a meandering-movement correction device arranged on an upstream side of the heating device in a transfer direction of the steel sheet, and configured to correct a meandering movement of the steel sheet transferred toward the heating device; a meandering-movement suppression device arranged between the heating device and the cold rolling mill, and configured to suppress a meandering movement of the steel sheet attributed to the cold rolling of the steel sheet by using the cold rolling mill; and a controller configured to: control the meandering-movement correction device to perform a meandering movement correction operation to correct the meandering movement of the steel sheet transferred toward the heating device; and control the meandering-movement suppression device to perform a meandering movement suppression operation to suppress the meandering movement of the steel sheet attributed to the cold rolling of the steel sheet; wherein the controller controls the meandering-movement suppression device to perform the meandering movement suppression operation at a timing when the controller controls the meandering-movement correction device to perform the meandering movement correction operation. control the meandering-movement correction device to perform a meandering movement correction operation to correct the meandering movement of the steel sheet transferred toward the heating device; and control the meandering-movement suppression device to perform a meandering movement suppression operation to suppress the meandering movement of the steel sheet attributed to the cold rolling of the steel sheet; wherein the controller controls the meandering-movement suppression device to perform the meandering movement suppression operation at a timing when the controller controls the meandering-movement correction device to perform the meandering movement correction operation.