A continuous repetitive method of rolling a series combination of asymmetric rolling and skin pass rolling operations is provided. Differential-speed rolling is performed as the asymmetric rolling, and a winder temporarily winds a metal strip with a collapsed plate shape by traverse winding (loose winding which allows the metal strip to be wound in a zigzag manner). Then, the skin pass rolling is performed, and orderly winding is performed in a coil form. In the flow of rolling, tandem rolling may be performed by arranging two or more rolling mills side by side so that the asymmetric rolling and the skin pass rolling operations are continuously performed without the traverse winding therebetween.