A fluid-impermeable composite hose has a wall including a laminated layer formed by longitudinally lapping a laminated sheet which contains a metallic foil, or a metallic layer formed by vapor deposition. The laminated layer is bound with thread wound about it at a density not exceeding 20%, and bound to an extent forming constrictions therein if required. The thread prevents the deformation in cross section of the hose and the separation of the overlapping edge portions of the laminated sheet which might otherwise be caused by the bending resistance of the laminated sheet. The constrictions improve the flexibility of the hose.