  In this paper we study the relationship between the $D_{s0}^{*}(2317)^+$
resonance and the decay of the $B_c$ meson into $J/\psi DK$. In this process,
the $B_c$ meson decays first into $J/\psi$ and the quark pair $c\bar{s}$, and
then the quark pair hadronizes into $DK$ or $D_s\eta$ components, which undergo
final state interaction. This final state interaction, generating the
$D_{s0}^{*}(2317)^+$ resonance, is described by the chiral unitary approach.
With the parameters which allow us to match the pole position of the
$D_{s0}^{*}(2317)^+$, we obtain the $DK$ invariant mass distribution of the
decay $B_c\to J/\psi DK$, and also the rate for $B_c\to J/\psi
D_{s0}^{*}(2317)$. The ratio of these two magnitude is then predicted.
