A connection device for use in the negative pressure therapy of wounds includes a flexible conduit which can be impinged with negative pressure and/or fluid media, the conduit having at least two lumens, a coupling body formed by an elastomeric flexible material which is non-detachably injection molded to a wound-side end section of the conduit, and being constructed for placement on a negative pressure bandage which covers and seals the wound negative pressure tight against the atmosphere, the conduit communicating through at least one opening in the coupling body with the wound space, and an end cap attached and preferably non-detachably fastened to the injection molded-on material of the coupling body, thereby sealing the coupling body tight against the outside.