Abstract: A method for cold rolling a strip is wherein brushing roll are provided to both the work rolls and the back up rolls of the temper mill, to remove particles from the surface of the rolls of the mill and suction ducts adjacent to the brushing rolls transport the foreign objects out of the mill system. The sucking speed at the duct is at least 5 m/sec., and preferably 8 m/sec. The length of the bristle is from 15 to 60 mm, the diameter thereof being from 0.15 mm to 1.0 mm, and the material thereof is selected from a group of nylon, propyrene, or a the mixture thereof. The density of the bristle with respect to the peripheral surface area of the brushing rolls for the work roll is from 55 to 85% by area. Abrasive grains with a grain size of #300 to #1200 are incorporated in the brush of said brushing roll which enhance the brushing ability.