Low lattice thermal conductivity is one of the key factor for excellent thermoelectric performance of materials. In this work, we have systematically studied the thermoelectric properties of Ag 2 GeX 3 (X = S, Se, Te) by first -principles calculations in combination with Boltzmann transport theory. In terms of phonon transmission performance, due to the low frequency of acoustic phonons, strong coupling between low -frequency optical phonons and acoustic phonons, and relatively strong anharmonicity, Ag 2 GeX 3 (X = S, Se, Te) exhibits extremely low lattice thermal conductivity of 0.30 Wm -1 K -1 , 0.28 Wm -1 K -1 and 0.65 Wm -1 K -1 at room temperature, respectively. At the same time, Ag 2 GeX 3 (X = S, Se, Te) also exhibits good electrical transport performance. The appropriate band gap and high slope of electronic density of states (DOS) near the Fermi level result in a large Seebeck coefficient of the materials. As a result, the optimal ZT values of p(n)-type Ag 2 GeX 3 (X = S, Se, Te) are 1.4(1.2), 2.2(0.7), and 0.9(0.7) at 800 K, respectively. These results demonstrate outstanding thermoelectric performance of Ag 2 GeSe 3 for energy conversion applications.