Locking device for columns (A) of presses with at least one stationary platen and at least one moveable platen (E), comprising, in a containment body (D), a wedge flange (G) firmly fastened to the back of the tightening wedges (B) and able to translate axially, and where after the tightening of said wedges (B) on said column (A), the group formed by the piston (C) acting on said wedges (B), said wedge flange (G), said wedges (B) and said column (A) translates with a maximum stroke (m) limited by a starting or resting position of the wedge flange (G) to an end stop position, determined by the pressing of said wedge flange (G) on the rear plate (D2) of said containment body (D).