Motivated by the newly observed narrow structures Ω b (6316) − , Ω b (6330) − , Ω b (6340) − , and Ω b (6350) − in the Ξ 0 b K − mass spectrum, we investigate the strong decays of the low-lying Ω b states within the 3 P 0 model systematically. According to their masses and decay widths, the observedand Ω b (6350) − resonances can be reasonably assigned as the λ−mode Ω b (1P) states with J P = 1/2 − , 3/2 − , 3/2 − , and 5/2 − . Meanwhile, the remaining P−wave state with J P = 1/2 − should have a rather broad width, which can hardly be observed by experiments. For the Ω b (2S ) and Ω b (1D) states, our predictions show that these states have relatively narrow total widths and mainly decay into the Ξ bK , Ξ ′ bK and Ξ ′ * bK final states. These abundant theoretical predictions may be valuable for searching more excited Ω b states in future experiments.