A composite electromagnetic-wave-absorbing sheet comprising (a) a first electromagnetic-wave-absorbing film 10a comprising a plastic film 11, and a single- or multi-layer thin metal film formed on at least one surface of the plastic film 12, the thin metal film 12 being provided with large numbers of substantially parallel, intermittent, linear scratches 122 with irregular widths and irregular intervals in plural directions, and (b) a second electromagnetic-wave-absorbing film 20 composed of a resin or a rubber in which magnetic particles or non-magnetic, conductive particles are dispersed.