The present invention relates generally to a closure piecefor a container for pharmaceutical preparations, and to acontainer for pharmaceutical preparations that is providedwith this closure piece, in particular a syringe.The closure piece is provided for the releasable closure ofan opening at the distal end of a cylindrical container forpharmaceutical preparations, in particular a syringe,preferably by means of a Luer lock fastening. For thispurpose, the closure piece comprises a cylindrical closurecap, with a cylindrical cavity for receiving and retaininga sealing element, and a sealing element, wherein thesealing element has a rearward offset in relation to theouter edge of the closure cap.
