Rewinder for the production of logs. A feeding element adapted to supply a paper web. A guide element adapted to guide sequentially several cores along a predetermined path between a station for feeding the cores and a winding station in which a predetermined amount of the web is wound on each core. A winding element adapted to wind the paper web on the cores in the winding station. The guide element includes a guide with a curved end section that ends in the winding station and in cooperation with the winding element, delimits a channel crossed by each core before reaching the winding station.