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 vp(+)=c/nr(+)[jls-end-space/], and its refractive index is 5.47. On the other hand, the LCP beam’s superluminal phase velocity is vp(−)=c/nr(−)[jls-end-space/], 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 Ng(+)=−33522 and Ng(−)=−1305[jls-end-space/]. The group velocities that correspond to this are vg(+)=−c/33522 and vg(−)=−c/1305[jls-end-space/]. 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.