An axially stable tubular braided fabric comprising a longitudinal set of yarns extending longitudinally of the fabric, a first set of yarns arranged substantially along a first cylindrical plane and at an angle relative to the longitudinal yarns and a second set of yarns arranged substantially along a second cylindrical plane and transversely of the first set of yarns. The yarns of the longitudinal set are passed consecutively over one and under the other of the yarns of the first and second sets interlocking these yarns together in an axially stable position with the yarns of the first set predominating the outer surface and the yarns of the second set predominating the inner surface.