A fabric for a ship traction structure, formed from multifilament continuous warp yarns and weft yarns and coated on one or both of its two surfaces with a polyurethane (PU), the bare fabric having a coverage rate TC of between 1.8 and 4, the yarns being made of poly(ethylene terephthalate) (PET), the fabric having a density of between 20 and 50 yarns/cm, in terms of warp and weft density, the polyurethane being a crosslinked PU that is polyether-, polyester-, or polycarbonate-based, and this PU being derived from the crosslinking (1) of a single-component polyurethane having a modulus at 100% elongation less than or equal to 5 MPa, in particular between 1 and 4 MPa, in particular between 1 and 3 MPa, according to the standard DIN 53504, implemented in organic solvent phase; (2) by a crosslinking agent, based on a proportion of dry crosslinking agent relative to the dry elastomer of between approximately 5% and approximately 30% by weight, the fabric having a weight, coating included, ranging from 43 or 44 to 250 g/m2. A ship traction structure, in particular of the paraglider sail type, made with such a fabric.