The superluminal solitonic propagation behavior of left- and right-circularly polarized (LCP/RCP) light beams is investigated in a chiral medium. RCP and LCP beam absorption exhibits super-Gaussian-type peak behavior with spatial coordinate fluctuation around the origin. The RCP beam’s subluminal phase velocity is
, and its refractive index is 5.47. On the other hand, the LCP beam’s superluminal phase velocity is
, and its refractive index is −3.65. Both LCP and RCP beams propagate at superluminal group speeds in the medium. The RCP and LCP beams’ maximum group index values are determined to be
and
. The group velocities that correspond to this are
and
. With the position of greater nonlinearity and periodicity changing with forward time flowing, the RCP and LCP pulses E(r,t)(+) and E(r,t)(−) exhibit superluminal-peaked soliton characteristics. With increasing forward time, the LCP pulse intensity shifts to a positive position while the RCP pulse intensity shifts to a negative position. The bright superluminal solitonic intensities are modified and controlled. For both polarized light beams in a chiral atomic medium. The obtained results may be useful for soliton radar technology and time cloak equipment to reduce information hacking from outside hackers.