Abstract: This invention relates to a tool support, particularly for a robot, of the type comprising two parts connected together by an assembly of elastic plates which, at rest, are disposed tangentially to a circle concentric to a reference axis of said robot with which the axis of the tool merges, and which, when working, enable that part of said support which bears the tool to move with respect to said reference axis, wherein each of said plates is connected to one of said parts of the tool support via a swivel joint assembly or the like and to the other of said parts via an articulation whose axis is at right angles to said reference axis. The invention is more particularly applicable to automatic machining with displacement of the tool parallel to itself.