  We present the first measurements of the differential cross section
$d\sigma/dp_{T}^{\gamma}$ for the production of an isolated photon in
association with at least two $b$-quark jets. The measurements consider photons
with rapidities $|y^\gamma| < 1.0$ and transverse momenta $30 < p_{T}^{\gamma}
< 200$~\GeV. The $b$-quark jets are required to have $p_T^{jet}>15$ GeV and $|
y^{jet}| < 1.5$. The ratio of differential production cross sections for
$\gamma+2~b$-jets to $\gamma+b$-jet as a function of $p_{T}^{\gamma}$ is also
presented. The results are based on the proton-antiproton collision data at
$\sqrt{s}=$1.96~\TeV collected with the D0 detector at the Fermilab Tevatron
Collider. The measured cross sections and their ratios are compared to the
next-to-leading order perturbative QCD calculations as well as predictions
based on the $k_{T}$-factorization approach and those from the SHERPA and
PYTHIA Monte Carlo event generators.
