Abstract: Rotary-pallet system, in particular for multi-directional machining of the pieces (8) to be machined. In the said system there is a body piece (2), one of whose ends (A) is attached to a holder, which said body piece is rotable around a longitudinal axis (A-B), and against whose longitudinal guide faces one or several pieces (8) to be machined can be positioned. One or several wedge pieces (3) can be attached to the edge of the guide face on the body (2), the wedge face on the said wedge piece being pressed towards a side of the piece (8) to be machined. A counter-face (4, 13) is provided at the opposite side of the piece to be machined. The wedge piece (3) can be attached to the body (2) by means of a fastening member (1), which is directed in such a way diagonally that the direction of the fastening movement of the wedge piece approaches both the body (2) and the piece (8) to be machined at the same time.