[en] We present measurements of the differential cross section dσ/dp_T^γ for the inclusive production of a photon in association with a b-quark jet for photons with rapidities |y^γ|<1.0 and 30< p_T^γ<300 GeV, as well as for photons with 1.5<|y^γ|<2.5 and 30< p_T^γ<200 GeV, where p_T^γ is the photon transverse momentum. The b-quark jets are required to have p_T>15 GeV and rapidity |y^jet|<1.5. The results are based on data corresponding to an integrated luminosity of 8.7 fb^-1, recorded with the D0 detector at the Fermilab Tevatron pp^¯ Collider at √(s)=1.96 TeV. The measured cross sections are compared with next-to-leading order perturbative QCD calculations using different sets of parton distribution functions as well as to predictions based on the k_T-factorization QCD approach, and those from the SHERPA and PYTHIA Monte Carlo event generators.