Abstract: The invention relates to a concrete pipe having a corrosion-resistant inner lining consisting of plastic whose one end is made as a pipe spigot end piece and whose other end is made as a pipe socket end piece to receive a pipe spigot end part of the following pipe, with the plastic pipe projecting by an overhang at the pipe spigot end part, with an all-round peripheral groove being arranged at the pipe interior of the plastic pipe to accept an elastomer seal and with the overhang which extends in a straight line and is insertable into the pipe socket end part being so long that it covers the peripheral groove. In accordance with the invention, the inner lining consisting of plastic also lines the pipe socket end part of the concrete pipe.