A stack fastening device includes a base, on an upper surface of which a stack is loaded, a compression plate, which has a flat configuration and is placed over the stack to press the stack, and a plurality of vertical beams, which are installed on the base to extend vertically so that the upper end portion of the beams projects out through the edge of the compression plate, A thread is formed in an upper end portion of each vertical beam, nuts are threadedly coupled to the thread such that the nuts can be tightened against upper and lower surfaces of the compression plate, and engagement grooves are defined in the upper surface of the compression plate so that a head of a hydraulic cylinder can be coupled to the compression plate.