In ultra-relativistic heavy-ion collisions, heavy quarks, i.e charm and beauty, are produced in the early stage of the reaction. Therefore, they are uniquely suited to probe the Quark-Gluon-Plasma (QGP), which is formed in such reactions, and to study the parton-medium interactions. In 2010 and 2011, Pb-Pb collisions at =2.76 TeV have been recorded by ALICE at the LHC. We present results of open heavy-flavour production using hadronic D meson decays, as well as semi-electronic and semi-muonic decays of D and B mesons. The corresponding nuclear modification factors are measured as a function of the transverse momentum and the collision centrality in the ALICE central-barrel at mid-rapidity and in the forward muon detector. First elliptic flow measurements are also shown.