The results on open heavy flavour and charmonium production in pp collisions at the LHC with the ALICE experiment are presented, based on data collected in 2010 at √s =7 TeV. In particular charm production at central rapidity is measured in a number of exclusive decay channels into charged hadrons, e.g. D0 → K−π+, D+ → K−π+π+ and D∗+ → D0π+. Beauty and charm pro- duction can be studied at central and forward rapidity through the inclusive channels decaying in single electron and muon, respectively; J/ψ production at central and forward rapidities has been measured in the dielectron and dimuon channels, respectively. Finally, perspectives on heavy flavour measurements in Pb–Pb collisions are discussed.