A method of manufacturing a strip of rubber having discontinuous reinforcer segments includes a conveying step in which a rubber strip is conveyed in a direction DC, and a cutting step in which reinforcers of the strip are cut. The cutting step includes localized heating of each reinforcer using a laser beam from a remote source. A cutting device useable to perform the cutting step includes a conveying device and a cutting head. The conveying device moves the strip in the conveying direction DC past the cutting head. The cutting head includes an emitter from which at least one laser beam is produced to cause localized heating of at least one reinforcer of the strip, in order to cut the at least one reinforcer into discontinuous reinforcer segments. The strip may be conveyed continuously or discontinuously, such that the strip may be moving or immobilized during the cutting step.