An apparatus (100, 200, 200', 300) for producing and/or disengaging a fluid flow-capable medical threaded connection of a first connecting element and a second connecting element (6, 6`), in particular for producing and/or disengaging a Luer lock connection, wherein the apparatus (100, 200, 200', 300) comprises a first receiving device (20, 320) for receiving the first connecting element and a second receiving device (30, 130, 330) for receiving the second connecting element (6, 6`), wherein the first receiving device (20, 320) and the second receiving device (30, 130, 330) are rotatable relative to each other about a common screwing axis and displaceable relative to each other along said screwing axis, and wherein the apparatus (100, 200, 200', 300) is designed to relatively move the first receiving device (20, 320) and the second receiving device (30, 130, 330) toward each other after the introduction of the first connecting element into the first receiving device (20, 320) and the introduction of the second connecting element (6, 6`) into the second receiving device (30, 130, 330) such that the first connecting element and the second connecting element (6, 6') are screwed together or the threaded connection disengaged, characterized in that the first receiving device and/or the second receiving device (30, 13) has a recess which is designed to receive the associated connecting element (1; 6, 6') and which is outwardly open in the radial direction relative to the screwing axis, or the first receiving device and/or the second receiving device comprises a gripper (303, 304) or is designed as a gripper (303, 304), so that the associated connecting element (1; 6, 6') can be introduced into the first receiving device (20, 320) and/or the second receiving device (30, 130, 330) in the radial direction relative to the screwing axis. wherein the apparatus (100, 200, 200', 300) comprises a first receiving device (20, 320) for receiving the first connecting element and a second receiving device (30, 130, 330) for receiving the second connecting element (6, 6`), wherein the first receiving device (20, 320) and the second receiving device (30, 130, 330) are rotatable relative to each other about a common screwing axis and displaceable relative to each other along said screwing axis, and wherein the apparatus (100, 200, 200', 300) is designed to relatively move the first receiving device (20, 320) and the second receiving device (30, 130, 330) toward each other after the introduction of the first connecting element into the first receiving device (20, 320) and the introduction of the second connecting element (6, 6`) into the second receiving device (30, 130, 330) such that the first connecting element and the second connecting element (6, 6') are screwed together or the threaded connection disengaged, characterized in that the first receiving device and/or the second receiving device (30, 13) has a recess which is designed to receive the associated connecting element (1; 6, 6') and which is outwardly open in the radial direction relative to the screwing axis, or the first receiving device and/or the second receiving device comprises a gripper (303, 304) or is designed as a gripper (303, 304), so that the associated connecting element (1; 6, 6') can be introduced into the first receiving device (20, 320) and/or the second receiving device (30, 130, 330) in the radial direction relative to the screwing axis.