As the size of the transistor decreases in the nanoscale regime, certain parameters, such as, cell stability, power dissipation, and delay, have changed. This poses a significant challenge when attempting to scale down metal oxide semiconductor field effect transistor (MOSFET). The carbon nanotube field effect transistor (CNTFET) has exhibited remarkable advantages compared to MOSFETs in circuit designs within the nanoscale range, owing to its extraordinary characteristics. In this work, a CNTFET-based six-transistor (6T) static random access memory (SRAM) cell is designed using the low power input-dependent (INDEP) technique. The suggested circuits' performance and efficiency is enhanced using CNTFET technology. The suggested design undergoes circuit simulations using the 32 nm CNTFET Stanford model. The results obtained from the simulations indicate that the suggested INDEP 6T SRAM cell surpasses both the conventional 6T SRAM cell and the previous designs in terms of power dissipation, delay, and energy efficiency. The hold, read, and write operations use less power, and the hold and write operations take less time to complete. The suggested design also demonstrates improved energy efficiency for hold and read operations compared to the conventional design. Furthermore, a stability analysis is conducted on the suggested INDEP 6T SRAM cell using the static noise margin (SNM) metric. The suggested INDEP approach in comparison to the other schemes has greater SNMs for hold, write, and read operations, indicating improved SRAM cell stability.