A device for radially compressing an elastic line for a flowing medium at a line point includes an insertion channel (11) for insertion of a line section of the line. The insertion channel (11) includes a pressure element (12) displaceable transversely to the insertion channel (11), and a counterpart (13) located opposite the pressure element (12) on the insertion channel (11). Each of the pressure element (12) and counterpart (13) extends into the insertion channel (11). An actuator acts upon the pressure element (12) for the displacement thereof. The actuator preferably is an electric-motor drive unit (14) having an output shaft (15) and a translation module (16) for converting rotational motion of the output shaft (15) into linear motion of the pressure element (12).