Carbon nanotubes have unique features and special properties that offer great potential for nano-electronic devices. Understanding the dependency of temperature and dielectric is essential to optimize the performance of carbon nanotube field effect transistors (CNTFETs).In this study, a numerical simulation model of semiconducting CNTFETs is presented to determine the electrical properties in the ballistic regime. This paper focused on the impact of temperature and dielectric constant to evaluate the input-output characteristic of CNTFET devices. Moreover, the study investigated the changes in threshold voltage as a function of gate dielectric constant and temperature in the nanometer regime. The findings emphasize the importance of integrating temperature and dielectric constant relationships in the design and optimization of CNTFETs, allowing for their effective incorporation into future electronic applications.