A vascular prosthesis with tubular woven structure, the prosthesis includes an inner layer adapted to contact a blood flow, the inner layer being formed of warp and weft yarns and having a cover factor of 1800 or more, each of a warp and weft yarns including a microfiber multifilament yarn with a monofilament fineness of 0.50 dtex or less, the multifilament yarn including microfiber monofilaments having an average intersecting angle S of the monofilaments of less than 25°.