  In this paper, we analyze different decay observables of semileptonic $ B_c$
decays into $(D_(s,d)^((*))){\mu}^+ {\mu}^-$ such as branching ratio,
forward-backward asymmetry, polarization fraction and lepton polarization
asymmetry in the non-universal Z' model. We have also studied the dependence of
branching fraction to the new model parameters. Here, we have found that the
values of different decay parameters increase in the Z' model, which provides a
possible way out for the search of new physics as well as the unknown phenomena
of charm B meson.
