In a jacking system for a marine platform, a plurality of hydraulic continuous linear motion motors are engageable with a plurality of marine platform supporting logs to provide relative motion between the platform and its supporting legs, and to also maintain the platform and its supporting legs locked in a stationary relationship. In the jacking system, the number of hydraulic piston/cylinder units and the number and design of the teeth that are engaged in providing relative motion may be selected to substantially reduce material stresses on the system.