Recently, the demand for portable electronics and embedded systems has increased. These devices need low-power circuit designs because they depend on batteries as an energy resource. Moreover, multi-valued logic (MVL) circuits provide notable improvements over binary circuits in terms of interconnect complexity, chip area, propagation delay, and energy consumption. Therefore, this paper proposes new ternary circuits aiming to lower the power delay product (PDP) to save battery consumption. The proposed designs include new ternary gates [standard ternary inverter (STI) and ternary nand (TNAND)] and combinational circuits [ternary decoder (TDecoder), ternary half-adder (THA), and ternary multiplier (TMUL)] using carbon nano-tube field-effect transistors (CNFETs). This paper employs the best trade-off between reducing the number of used transistors, utilizing energy-efficient transistor arrangement such as transmission gate, and applying the dual supply voltages (V dd and V dd /2). The five proposed designs are compared with the latest 15 ternary circuits using the HSPICE simulator for different supply voltages, different temperatures, and different frequencies; 180 simulations are performed to prove the efficiency of the proposed designs. The results show the advantage of the proposed designs in reduction over 43% in terms of transistors' count for the ternary decoder and over 88%, 99%, 98%, 86%, and 78% in energy consumption (PDP) for the STI, TNAND, TDecoder, THA, and TMUL, respectively. INDEX TERMS Carbon nano-tube field effect transistors (CNFET), ternary combinational circuits, ternary logic gates, multi-valued logic (MVL), power delay product.