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 $$\Delta \phi $$ 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.