Electrodeposition of magnetic multilayers was achieved in the cylindrical pores of a nuclear track-etched polycarbonate membrane. An assembly of wires with an average diameter of 80 nm and a length of 6 μm was obtained. Multilayers in these wires were grown by pulsed deposition of (Co, Ni) and Cu. The high aspect ratio of the sample allowed us to measure the magnetoresistance with the current perpendicular to the planes. Magnetoresistance ratios higher than 20% at ambient temperature are reported.