  Production of charmed and beauty mesons and baryons in hadron-nucleon
collisions at not very high energy is considered in the framework of the
Quark-Gluon String Model. We take into account the possible corrections to the
model which disappear at asymptotically high energies but could be important at
comparatively low energies, essentially in the case of heavy flavour
production. The case of nuclear targets is also considered and the
$A$-dependence of charmed and beauty hadron yields is calculated. Predictions
for the case of beauty hadron production at $\sqrt{s}$ = 39 GeV are presented.
