In our previous studies, we analyzed the two-body strong decays of the low-lying Ω baryon states within a chiral quark model. The results showed that the mass, total width, and two body decay $ \Omega(2012) \to \bar{K}\Xi $ could be well reproduced with the spin-parity $ \Omega(2012) \to \bar{K}\Xi $ state $ \Omega(2012) \to \bar{K}\Xi $ classified in the quark model. Stimulated by the new observations of the three-body decay process $ \Omega(2012) \to \bar{K}\Xi $ at Belle, in the present study, we further investigate the three-body strong decay $ \Omega(2012) \to \bar{K}\Xi $ within the chiral quark model. It is found that the $ \Omega(2012) \to \bar{K}\Xi $ has a sizeable decay rate into the three-body final states $ \Omega(2012) \to \bar{K}\Xi $ . When considering $ \Omega(2012) \to \bar{K}\Xi $ as the $ \Omega(2012) \to \bar{K}\Xi $ resonance, the predicted ratio $ \Omega(2012) \to \bar{K}\Xi $ $ \Omega(2012) \to \bar{K}\Xi $ is close to the upper limit $ \Omega(2012) \to \bar{K}\Xi $ measured by the Belle Collaboration in 2019; however, it is too small to be comparable to the recent measurement $ \Omega(2012) \to \bar{K}\Xi $ . In addition, the coupled-channel effects on the bare three-quark state $ \Omega(2012) \to \bar{K}\Xi $ from nearby channels $ \Omega(2012) \to \bar{K}\Xi $ , $ \Omega(2012) \to \bar{K}\Xi $ , and $ \Omega(2012) \to \bar{K}\Xi $ are studied. Our theoretical results show that the coupled-channel effects on $ \Omega(2012) \to \bar{K}\Xi $ are not very large, and the molecular component is no more than $ \Omega(2012) \to \bar{K}\Xi $ . To clarify the nature of $ \Omega(2012) \to \bar{K}\Xi $ resonance, precise measurements on the ratio $ \Omega(2012) \to \bar{K}\Xi $ are needed, and further investigation on the effects of coupled channels is recommended.