The top-quark FCNC processes will be searched for at the CERN LHC, which are correlated with the B-meson decays. In this paper, we study the effects of top-quark anomalous interactions tqγ in the exclusive radiative B → K * γ and B → ργ decays. With the current experimental data of the branching ratios, the direct CP and the isospin asymmetries, bounds on the coupling κ γ tcR from B → K * γ and κ γ tuR from B → ργ decays are derived, respectively. The bound on |κ γ tcR | from B(B → K * γ) is generally compatible with that from B(B → X s γ). However, the isospin asymmetry ∆(K * γ) further restrict the phase of κ γ tcR , and the combined bound results in the upper limit, B(t → cγ) < 0.21%, which is lower than the CDF result. For real κ γ tcR , the upper bound on B(t → cγ) is about of the same order as the 5σ discovery potential of ATLAS with an integrated luminosity of 10 fb −1 .For B → ργ decays, the NP contribution is enhanced by a large CKM factor |V ud /V td |, and the constraint on tuγ coupling is rather restrictive, B(t → uγ) < 1.44 × 10 −5 . With refined measurements to be available at the LHCb and the future super-B factories, we can get close correlations between B → V γ and the rare t → qγ decays, which will be studied directly at the LHC ATLAS and CMS.