The invention concerns a clamping device for detachably connecting two profiled parts (1, 19). There can be inserted and secured in a first profiled part (1) an insert core (2) comprising an axially movable slide (7) with an end part having a projection (17, 18) which can be at least partially inserted into an opening in a second profiled part (19) in order to exert clamping pressure against a portion of the second profiled part (19), which portion partially closes the opening. The slide (7) is flat, and the insert core (2) comprises two inner grooves for axially guiding the slide (7). Rotatably guided in the insert core (2) is an eccentric (5). When the eccentric head (4) is rotated, the eccentric roller (22) presses against the inner wall (30) of a recess (12) in the slide (7) in order to move the latter into the insert core (2) into a position which enables the projection to exert the aforementioned clamping pressure.