In the presented paper exclusive decays Bc → J/ψKKS and Bc → ψ(2S)KKS are analyzed. It is shown that contributions of the excited ρ mesons should be taken into account to describe these decays. It is also shown that, unlike the corresponding τ lepton decays, peaks in mKK S distributions caused by these resonances are clearly seen and can be easily separated. Theoretical predictions for the branching fractions of the reactions and m ψK distributions are also presented.