Abstract: A pipe connection for thin-walled, small-diameter metal pipes, in particular for braking lines, for fuel lines, and for hydraulic lines for motor vehicles, is provided with a sleeve (3) into which is sealingly set at least one first conically flared metal pipe (1) (so-called flare according to ISO 4038) in a bore cone (25) under the compression force of a tensioning body (8, respectively, 9) resting against the flare (23).In order to provide a pipe connection without screw parts and taking into account the narrow assembly or mounting quarters and in order to achieve a satisfactory sealing effect for the full duration of the operation of the connection, it is proposed to employ a sleeve (12) with an axially fixed annular channel (18). A radially partially thin-walled pressure bushing (15) is shifted onto the first metal pipe (1) up to resting at the flare (23).