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In the framework of the kt-factorization approach, the production of prompt photons in association with a heavy (charm or beauty) quarks at high energies is st udied. The consideration is based on the $O(\alpha \alpha_s^2)$ off-shell amplitudes of gluon-gluon fusion and quark-(anti)quark interaction subprocesses. The unintegrated parton densities in a proton are determined using the Kimber-Martin-Ryskin prescription.Our numerical predictions are compared with the D0 and CDF experimental data. Also we extend our results to LHC energies.