A closure device for a drawer cabinet, comprising a linear guide (2), activating pins (7) attachable to respective drawers (102), a plurality of cam elements (6) slidably coupled to the guide (2) and stacked along the guide (2), each of said cam elements (6) to receive a translation movement along the guide (2) following a movement of the activating pins (7), a plurality of spacing elements (10) cooperating with the cam elements (6) and each of the spacing elements being movable between an operating position, in which it is arranged between two respective cam elements (6) keeping the two cam elements (6) spaced apart from each other, and an inoperative position, wherein there is movement away from a zone of mutual contact between the two respective cam elements (6) to allow a movement towards each other between the two respective cam elements (6). The spacing elements (10) are made in the form of an elastically deformable metal tongue and are stably and removably anchored to respective receiving portions (12) of the guide (2).