Abstract: A tool tie down system is provided which ties down a well tool inserted into the top end of a casing string being lowered into a well from upward movement caused by pressure forces from below the well tool inside the upper end of the casing string. The system includes a frictionally engageable clasp for supporting a tie down yoke on the bails connecting the traveling block and elevator slips assembly. A plurality of cords attached to the elevator on one end and the tie down yoke on the other end redirect forces from below to hold the well tool in place resisting these forces, the cords being fabricated, for example from an elastomer, a metal or metal alloy, a fiber, or combinations thereof.