  We study angular correlations in associated hadroproduction of $\Upsilon(1S)$
with the $D^{\pm}$ and $D^0$-mesons at the LHC in the Leading Order of the
parton Reggeization approach. Hadronization of $b\bar{b}$-pair to
$\Upsilon(1S)$ is described within the NRQCD-factorization framework.
Production of $D-$mesons is described in the fragmentation model with
scale-dependent fragmentaion functions. We have found good agreement with LHCb
data for various differential distributions, except for the case of spectra on
azimuthal angle differences at the small $\triangle\varphi$ values. The total
cross-section in our Single Parton Scattering model, calculated under
conservative assumptions, accounts for almost one half of observed
cross-section, thus dramatically shrinking the room for Double Parton
Scattering mechanism.
