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In this paper the next-to-leading order (NLO) corrections to $B_c$ mesonexclusive decays to S-wave charmonia and light pseudoscalar or vector mesons,i.e. $\pi$, $K$, $\rho$, and $K^*$, are performed within non-relativistic (NR)QCD approach. The non-factorizable contribution is included, which is absent intraditional naive factorization (NF). And the theoretical uncertainties fortheir branching ratios are reduced compared with that of direct tree levelcalculation. Numerical results show that NLO QCD corrections markedly enhancethe branching ratio with a K factor of 1.75 for $B_{c}^{\pm}\to \eta_{c}\pi^{\pm}$ and 1.31 for $B_{c}^{\pm}\to J/\psi \pi^{\pm}$. In order toinvestigate the asymptotic behavior, the analytic form is obtained in the heavyquark limit, i.e. $m_b \to \infty$. We note that annihilation topologiescontribute trivia in this limit, and the corrections at leading order in $z=m_c/m_b$ expansion come from form factors and hard spectator interactions. Atlast, some related phenomenologies are also discussed.

$B_c$ Exclusive Decays to Charmonium and a Light Meson at Next-to-Leading Order Accuracy