The invention discloses a deformation shock-absorption traveling part of a double-worm-gear mechanism. The deformation shock-absorption traveling part comprises a stander, an angle adjusting apparatus, epicyclic gear train assemblies and traveling assemblies; the angle adjusting apparatus is connected with the stander, a double-worm-gear mechanism is adopted, and a deformation drive assembly drives a worm to drive two worm gears to rotate; the epicyclic gear train assembly comprises a sun gear, a rocker arm, planetary gears and a shock absorption element; the sun gear is coaxially connected with the worm gears, and the rocker arm is coaxially and pivotally connected with the sun gear; the two planetary gears are pivotally connected with the rocker arm, and the planetary gears are engaged with the sun gear; the shock absorption element is respectively connected with the stander and the rocker arm; and the two epicyclic gear train assemblies are symmetrically arranged, and the two traveling assemblies are respectively connected with the two planetary gears. The invention also provides a firefighting moving platform with the deformation shock-absorption traveling part of the double-worm-gear mechanism. The firefighting moving platform can be used for designing a firefighting robot, so that a robot traveling part is deformable and has shock absorption performance.