Equipment for the handling of vials (100) which comprises: a base on which at least part of the vials being handled is located and transverse supporting means for the vials in which the transverse supporting means apply a force in a substantially transverse plane to the necks of the vials, which comprise supplementary supporting means for the vials; these supplementary supporting means applying a second force in a plane that is substantially inclined with respect to the plane in which the transverse supporting means apply the first force.