Abstract: A walking system for moving a load over the ground includes a substructure having laterally spaced-apart, rigidly interconnected main beams for carrying the load. A jack support beam is mounted as a cantilever on top of each main beam, and each includes a lifting jack assembly. Each lifting jack assembly includes a power-driven hydraulic cylinder having a ram and foot plate, and each is selectively operable for extending a ram downwardly to force the foot plate against the ground to raise the substructure off the ground, and for retraction to disengage the foot plates from the ground, thereby lowering the substructure to the ground. Each jack lifting assembly includes a shifter mechanism operable for displacing the main beams and the substructure along the ground in a selected steering mode when the lifting jack assemblies are actuated to raise the main beams and the substructure above the ground.