1We give a systematic study of Bc → BnV decays, where Bc and Bn correspond to the antitriplet charmed and octet baryons, respectively, while V stands for the vector mesons. We calculate the color-symmetric contributions to the decays from the effective Hamiltonian with the factorization approach and extract the antisymmetric ones based on the experimental measurements and SU(3)F flavor symmetry. We find that most of the existing experimental data for Bc → BnV are consistent with our fitting results. We present all the branching ratios of the Cabibbo allowed, singly Cabibbo suppressed, and doubly Cabibbo suppressed decays of Bc → BnV . The decay parameters for the daughter baryons and mesons in Bc → BnV are also evaluated. In particular, we point out that the Cabibbo allowed decays of Λ+c → Λ0ρ+ and Ξ0c → Ξ−ρ+ as well as the singly Cabibbo suppressed ones of Λ+c → Λ0K*+, Ξ+c → Σ+ϕ, and Ξ0c → Ξ−K*+ have large branching ratios and decay parameters with small uncertainties, which can be tested by the experimental searches at the charm facilities.