A heat-shielding cover operatively adapted for being installed adjacent to an exhaust system part (C) so as to cover the same; the heat-shielding cover including a fabric (10) provided with a prescribed shape and comprising inorganic fibers, and a mixture (11) that impregnates the fabric (10), with the mixture comprising an inorganic binder, inorganic filler particles and water. The mixture is dried so as to be rigid enough to maintain the shape of the fabric (10). The heat-shielding cover covers an exhaust system part, where the heat-shielding cover has a simple structure, is less likely to be, or is not, subject to warping in the place of installation due to thermal expansion and contraction of the heat-shielding cover, and moreover is less, or is not, susceptible to galvanic corrosion, even as a result of direct installation using an installation member.