Multiplication is a fundamental arithmetic process, although it necessitates more hardware resources. Researchers in advanced technology attempted to boost the speed and lower the power in digital signal processing applications by utilizing multipliers. The majority of digital signal processing applications demanded increased speed. In addition, ternary logic based on CNTFETs is a feasible alternative for Si-MOSFETs. The article proposes a ternary multiplier, which is designed using proposed ternary logical and combinational circuits that includes STI, TNAND, TNOR, and ternary decoder. The proposed and existing designs are simulated, compared, and analysed on the parameters of delay, average power, and noise using the HSPICE simulator. Therefore, the results show 10%, 81% and 81% improvement in delay, average power, and PDP respectively for proposed TMUL. The noise margin of the proposed TMUL is increased up to 54% over existing circuits. The proposed TDecoder, STI, TNAND, and TNOR are 95%, 97%, 81%, and 95% more energy efficient than existing designs, respectively.