Removable cladding system for a wall or building or furniture work comprising a plurality of panels where longitudinal edges of two adjacent panels are blocked to each other and to the wall by a respective plurality of fastenings (5, 7); each panel is provided with a first longitudinal edge and with a second longitudinal edge parallel to the first longitudinal edge which bears at least one concave housing means and the second longitudinal edge bears a first rib means whose shape is approximately complementary to that of the concave housing means in which is insertable said first rib means and at least one of the plurality of the fastenings (5, 7) for connecting the edges of two adjacent panels, where the first rib means of one of said panels is housed into the concave housing means of the other, wherein the fastening is formed at least by a set of removable fastening means each comprising a locking means lockable to the wall and abutting with the first longitudinal edge bearing said concave housing means of one of the two adjacent panels and each removable fastening means comprises a releasable clamping member movable with respect to the corresponding locking means and removably joinable to the latter; wherein said clamping member is provided with at least one protruding first arm means assigned, when the releasable clamping member is interlockingly hooked to the respective locking means, to match with the concave housing means so as to fix to the wall said concave housing means of the first longitudinal edge of the respective panel containing the first rib means of the second longitudinal edge of the other panel; the release of the releasable clamping member by the respective locking means of said plurality of removable fastening means for the edges (11, 13) of the two adjacent panels allows to release said edges (11, 13); said cladding system being characterized in that a longitudinal portion of each panel that is inner in respect to the concave housing means of the first longitudinal edge bears a first channel portion means having an approximately "U" section shape, said first channel portion means is parallel and placed internally and side by side in respect to the concave housing means where the concave surface of said concave housing means and the concave surface of said first channel portion means are side by side and opposite, wherein said first channel portion means is complementarily shaped in respect to, or it can be housed into, a longitudinal cavity of a second channel portion means also having an approximately "U" shaped section, made in the longitudinal portion of the second longitudinal edge that is inner in respect to the first rib means of the panel; wherein the concave surfaces of the channel portion means first and second point the same direction; and wherein the first arm means is assigned to match with the concave wall of the first channel portion means and/or with an outer face of the concave housing means when interlockingly hooked to the respective locking means. where the first rib means of one of said panels is housed into the concave housing means of the other, wherein the fastening is formed at least by a set of removable fastening means each comprising a locking means lockable to the wall and abutting with the first longitudinal edge bearing said concave housing means of one of the two adjacent panels and each removable fastening means comprises a releasable clamping member movable with respect to the corresponding locking means and removably joinable to the latter; wherein said clamping member is provided with at least one protruding first arm means assigned, when the releasable clamping member is interlockingly hooked to the respective locking means, to match with the concave housing means so as to fix to the wall said concave housing means of the first longitudinal edge of the respective panel containing the first rib means of the second longitudinal edge of the other panel; the release of the releasable clamping member by the respective locking means of said plurality of removable fastening means for the edges (11, 13) of the two adjacent panels allows to release said edges (11, 13); said cladding system being characterized in that a longitudinal portion of each panel that is inner in respect to the concave housing means of the first longitudinal edge bears a first channel portion means having an approximately "U" section shape, said first channel portion means is parallel and placed internally and side by side in respect to the concave housing means where the concave surface of said concave housing means and the concave surface of said first channel portion means are side by side and opposite, wherein said first channel portion means is complementarily shaped in respect to, or it can be housed into, a longitudinal cavity of a second channel portion means also having an approximately "U" shaped section, made in the longitudinal portion of the second longitudinal edge that is inner in respect to the first rib means of the panel; wherein the concave surfaces of the channel portion means first and second point the same direction; and wherein the first arm means is assigned to match with the concave wall of the first channel portion means and/or with an outer face of the concave housing means when interlockingly hooked to the respective locking means.