The invention relates to a coupling device for simultaneously coupling and decoupling a number of coupling pairs, which coupling device includes:—a number of coupling pairs, each having a first coupling part and a second coupling part; —a first mounting frame on which the first coupling parts of the number of coupling pairs are arranged; —a second mounting frame arranged parallel to the first mounting frame, wherein the second coupling parts of the number of coupling pairs are arranged to the second mounting frame, and wherein the second mounting frame is movable towards to and away from the first mounting frame between a connected position, in which each first coupling part is connected with the corresponding second coupling part, and a disconnected position; —guiding mechanism arranged to the first mounting frame and the second mounting frame for guiding the movement between the connected and disconnected position; —at least one rack and pinion drive arranged between the first and second mounting frame, wherein the pinion is arranged on a shaft rotatable arranged in the first mounting frame and wherein the rack extends from the second mounting frame in the direction of movement of said second mounting frame into the first mounting frame along the pinion; wherein the shaft extends with at least one end out of the first mounting frame and wherein an operating lever is arranged on the shaft.