We study decuplet baryons from meson-baryon interactions in lattice QCD, in particular, ∆ and Ω baryons from P-wave I = 3/2 N π and I = 0 Ξ K interactions, respectively. Interaction potentials are calculated in the HAL QCD method using 3-quark-type source operators at m π ≈ 410 MeV and m K ≈ 635 MeV, where ∆ as well as Ω baryons are stable. We use the conventional stochastic estimate of all-to-all propagators combined with the all-mode averaging to reduce statistical fluctuations. We have found that the Ξ K system has a weaker attraction than the N π system while the binding energy from the threshold is larger for Ω than ∆. This suggests that an inequalitymainly from a smaller spatial size of a Ξ K bound state due to a larger reduced mass, rather than its interaction. Root-mean-square distances of bound states in both systems are small, indicating that ∆ and Ω are tightly bound states and thus can be regarded qualitatively as composite states of 3 quarks. Results of binding energies agree with those obtained from temporal 2-point functions within large systematic errors, which arise dominantly from the lattice artifact at short distances.