Abstract: A manual riveting tool for the setting of blind rivets comprises a flat head whose housing carries the chuck which engages the mandrel and at least one pivotable member which is coupled with the chuck by a transmission in the head to draw the mandrel through the rivet and tear away. According to the invention, this member is provided with a lever to which an actuating arm can be removably connected by a plug-and-socket arrangement and the member further, at one of its ends at a side of the housing can be engaged by a standard socket wrench via another plug-and-socket connection. The housing may be formed with part of still a further plug-and-socket connection, e.g. for engagement by a handle. The plug-and-socket connections can be standard socket-wrench elements.