  The measurement of heavy-flavour production in pp collisions at the LHC
allows to study the production mechanisms and to test perturbative Quantum
Chromodynamics (pQCD) in a new energy domain. Further it provides important
reference data for investigations of the medium effects in Pb-Pb collisions,
where charm and beauty production measurements are regarded as a unique probe
for parton-medium interaction dynamics. We present preliminary results of open
heavy-flavour production measurements with ALICE using hadronic D meson decays
as well as semi-leptonic decays of D and B mesons and compare these with pQCD
predictions. The dependence of J/psi production on event multiplicity is also
shown
