Since the complementary metal-oxide semiconductor (CMOS) technology has experienced many serious problems in fulfilling the need for more robust and efficient circuits, some emerging nanotechnologies have been introduced as the candidates for replacing CMOS. Quantum-dot cellular automata (QCA) is one of the promising nanotechnology candidates with majority function as its fundamental logic element. It has one implementation in binary QCA and several implantations in ternary QCA, but none of the ternary QCA implementations are as efficient as the binary one. In this paper, a new cell configuration for ternary QCA is proposed which works as well as previous cell configuration. Also, a new design for ternary QCA majority function is proposed which performs faster and occupies less area.