  The rare semileptonic Bc-> D_s^* \ell^+ \ell^- decay is studied in the
scenario of the universal extra dimension model with a single extra dimension
in which inverse of the compactification radius R is the only new parameter.
The sensitivity of differential branching ratio, total branching ratio,
polarization and forward-backward asymmetries of final state leptons, both for
muon and tau, to the compactification parameter is presented. For some physical
observables uncertainty on the form factors and resonance contributions have
been considered in the calculations. Obtained results, compared with the
available data, show that there appear new contributions due to the extra
dimension.
