The support comprises a frame (1) with the general shape of a U with two uprights (11,12) and a crossmember (13), plus a printed sheet (2) secured to the frame; the frame comprises a solid core (14) and a tubular sleeve (15) covering the core, which comprises at least a natural or synthetic rubber. The support is prevented from being bent over by the wind or in the event of high temperatures, or from being deformed; damage is also avoided in the event of an impact against the support. The production method comprises providing a perforated fabric or mesh (2), roller-printing thereof, curing thereof in an oven at a temperature of at least 100° C. to obtain a highly flexible, high strength material, and printing or painting the required advertising motifs thereon.