Abstract: The apparatus for wrapping compressible box-like articles (10) such as a stock of newspapers or magazines, with a web-like wrapping material (12). The apparatus has three serially arranged belt conveyors (16, 18, 20), and the second belt conveyor (18) is in the form of a bearing table (24) which can be rotated about a vertical axis (26). The bearing table mounts two pressure-exerting members (30, 32). The article (10′) which is to be wrapped is introduced in a compressed state, by the first belt conveyor (16), into a wrap-around channel (42) which is formed by the table (24) and one of the pressure-exerting members (30), and the wrapping material (70) is positioned around the article in the form of a U. At the same time, the article (10), which has been previously wrapped in this way, is transferred to the third belt conveyor (20).