A medical fluid connection device connects to a complementary connector unit in a fluid-conducting manner. The medical fluid connection device has a housing member having an inlet opening and at least one outlet opening. The inlet opening and at least one outlet opening are interconnected in a fluid-conducting manner by a fluid duct that extends substantially along an axial direction, and a soft elastic sealing member which in a circumferential direction at least in portions encompasses a wall of the fluid duct and along the axial direction is guided so as to be movable in relation to the wall of the fluid duct. A Luer external taper connects to a Luer internal taper of the complementary connector unit in a fluid-tight manner. The Luer external taper is configured by a wall portion of the soft elastic sealing member. The medical fluid connection device can be used in infusion therapy.
