Abstract: The present invention applies to those auto-elevating marine platforms, as for deep-sea drilling and the like, outfitted with a number of legs and a number of associated jacking mechanisms of the rack and pinion type set with the rack's teeth in opposition, wherein a flexible coupling (5), the axis of compression of which is inclined, is placed between the support-framework (2), where the pinions (3) are mounted, and the main structure (1) of the platform in such a way that a relative freedom of movement between the support-framework (2) and the structure (1) is permitted. The intention is that the axis of compression of the flexible coupling (5) passes substantially directly through the instantaneous center of rotation of the upper part of the leg.