Abstract: The invention relates to a multiaxial pivoting head intended to be mounted at the end of moving arm (22) of a machine-tool, said pivoting head comprising, on the one hand, a yoke (30) including a support shaft (32), said yoke being able to be mounted rotatably on said arm (22), while said support shaft (32) extends substantially perpendicular to said arm (22), and on the other hand, at least two working members (38, 40) installed on said support shaft (32) in positions angularly offset relative to one another, said support shaft (32) being rotatable to be able to alternately bring each of said at least two working members (38, 40) between a position retracted inside said yoke (30) and a working position protruding from said yoke. One of said at least two working members (40) is a waterjet cutting device.