We demonstrate narrowband tunable terahertz generation from a picosecond LiNbO3 polariton laser, pumped by a CW mode-locked Nd:YVO4 picosecond laser. We generated up to 5.4 μW of terahertz output in untuned mode. We tuned the terahertz output, using etalons in the cavity, from 0.51 to 2.12 THz. Terahertz output powers of 3.7 μW and 2.4 μW were achieved at terahertz frequencies of 1.6 THz and 0.9 THz, respectively.