Provided is a rolled copper or copper-alloy foil having a roughened surface, the rolled copper or copper-alloy foil subjected to roughening treatment with copper fine grains wherein a copper base plating layer is provided between the copper roughened layer and the rolled copper or copper-alloy foil. An object of the present invention is to provide a roughened rolled copper-alloy foil having fewer craters, the presence of which is a serious disadvantage unique to a rolled copper-alloy foil having a roughened surface. In particular, provided is a rolled copper or copper-alloy foil in which the development of craters caused by inclusions present in or near a surface of the base material can be controlled.