  The ALICE apparatus at the LHC was designed and built to perform dedicated
studies of the Quark-Gluon Plasma (QGP), a strongly interacting phase of QCD
matter, expected to be created in heavy-ion collisions, where quarks and gluons
are deconfined. In such collisions heavy flavours are produced at the very
early stage of the interaction by the initial hard scattering processes and
hence can be used to characterize the hot and dense medium. In particular the
sequential suppression of quarkonia (charmonia and bottomonia) was proposed as
a thermometer of the deconfined medium. The inclusive $\Upsilon(1S)$ production
has been measured down to zero transverse momentum in its dimuon decay channel
at forward rapidity $(2.5 < y_{\rm_{lab}} < 4.0)$ using the Muon Spectrometer.
Here results on the $\Upsilon(1S)$ nuclear modification factor $(R_{\rm AA})$
in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV are discussed and
compared to the measurement at mid-rapidity by the CMS Collaboration and to
theoretical predictions. Also recent results on $R_{\rm pPb}$ and
forward-to-backward yield ratio $(R_{\rm FB})$ in p-Pb collisions at
$\sqrt{s_{\rm NN}}$ = 5.02 TeV are discussed.
