The invention relates to a method and facility for manufacturing a tape of reinforcement filaments impregnated by a polymer matrix, as well as a tape produced thereby, said tape having a constant width across the entire length thereof, wherein the filaments extend in a direction parallel to the length of the tape, from a strand of filaments coming from a feeding reel. The method including steps and units that make it possible to manage the unwinding tension of the strand, to guide the strand on the axis of the machine, to manage the width of the strand, to deposit the polymer on the strand by electrostatic powdering, with a polymer weight ratio of around 20% to around 75% to melt the polymer, to calibrate the width and thickness of the tape and to collect the tape on the storage reel.