In this letter, the construction of ternary convolutional codes (TCCs) for ternary phase shift keying (TPSK) modulation is considered. The tables of non-recursive non-systematic TCCs with a maximum free distance are given for rates $1/2$ , $1/3$ , and $1/4$ . The conversion from binary data to ternary symbols is investigated. The performance of TCCs with binary to ternary conversion using TPSK is compared with the best binary convolutional codes using binary phase shift keying.