  The production of muons from heavy flavour decays is measured at forward
rapidity (2.5 < y < 4) with the muon spectrometer of the ALICE experiment at
the LHC. In pp collisions at \sqrt{s} = 7 TeV, the measurement of the
transverse momentum and rapidity differential production cross section of muons
from heavy flavour decays is carried out from a data sample corresponding to an
integrated luminosity of Lint = 16.5 nb^-1 and results are compared to
predictions based on perturbative QCD calculations. In Pb-Pb collisions at
\sqrt{s_{NN}}= 2.76 TeV, the analysis of a data sample corresponding to an
integrated luminosity of Lint = 2.48 \mub^-1 provides a measurement of the
ratio of inclusive muon yield in central to peripheral collisions (RCP) as a
function of the collision centrality.
