Abstract: A method for movement-compensating a riser pipe (6) running between a mobile offshore structure (7, 8) and a wellhead (2) on the sea-bed (1), employs a sliding joint (13, 15) in the form of a telescopic device (9) which is volume and pressure balanced. This balancing makes it possible to use the sliding joint under the extreme conditions of pressure which may be experienced in production riser pipes, which the advantage that the production systems may be fitted fixedly to the mobile offshore structure. The method also combines the sliding joint (13, 15) with a hydraulic cylinder (27) which maintains a movement-compensated tension in the riser pipe (6). Several examples of slidng joints (13, 15) with movement-compensated tension cylinders (27, 38, 43) are shown.