We study CP violation in b-baryon decays of Ξ − b → Ξ − D with D = D 0 , D0 and D i (i = 1, 2). We find that these baryonic decay processes provide an ideal opportunity to measure the weak phase due to the absence of the relative strong phase. Explicitly, we relate ρ and η the CKM elements with the decay rate ratios of) without the charge conjugate states. As a complementary, we also examine the decay distributions of Λ b → Λ(→ pπ − )D. There are in total 32 decay observables, which can be parameterized by 9 real parameters, allowing the experiments to extract the angle γ ≡ arg(−V ud V * ub /V cd V * cb ) in the CKM unitarity triangle. In addition, the feasibilities of the experimental measurements are discussed. We find that ρ and η can be extracted at LHCb Run3 from Ξ − b → Ξ − D, and a full analysis of Λ b → Λ(→ pπ − )D is available at LHCb Run4.