Widely tunable optical parametric oscillators (OPOs) are attractive sources for applications in mid-IR due to the scarcity of direct-emitting conventional lasers in this spectral region. Recently, two new chalcogenide compounds BaGa4Se7 (BGSe) and BaGaGe2Se6 (BGGSe) having relatively high χ(2) nonlinear optical coefficient were successfully synthesized and large single crystals were grown using the Bridgman-Stockbarger technique [1, 2]. Recently the first BGSe nanosecond OPO pumped by a Q-switched Nd:YAG laser (1.064 μm)  and pumped at 2.09 μm by a Q-switched Ho:YAG laser  were demonstrated. Lastly, an intracavity pumped cascaded OPO based on BGGSe was reported . The continuous development and power-scaling of BGSe and BGGSe - based OPOs require study of their damage thresholds. This paper is devoted to a comparative analysis of optical damage of the BGSe and BGGSe nonlinear elements pumped by 1-μm or 2-μm laser radiations.