  The comparison of B-meson production cross sections as the results of PYTHIA
code and Quark Gluon String Model (QGSM) is carried out for energies of proton
colliders: $Sp\bar(p)S$, Tevatron and LHC. Model predictions are based on the
theory of supercritical Pomeron exchanges with the phenomenological intercept
$\Delta_P$(0)=0.3, accepted for heavy quark production.Transverse momentum
spectra of B-mesons are also compared. It is shown that the cross sections
calculated with PYTHIA using CTEQ structure functions are in a contradiction
with the asymptotical estimation of B$\bar{B}$ production cross sections in
QGSM. Asymmetries between the spectra of $B^0$ and $\bar{B0}$ mesons are also
contradicting. The reasons of the difference are discussed.
