  ALICE (A Large Ion Collider Experiment) is devoted to the study of heavy-ion
collisions at LHC energies. In such collisions a deconfined state of nuclear
matter, the Quark-Gluon Plasma (QGP), is formed. Due to their early production,
quarkonium states are good probes to study the QGP evolution. Such states are
affected by suppression mechanisms which lead to reduced yields with respect to
pp and p-Pb collisions, while regeneration phenomena might lead to an
enhancement of their production. The latter effects are expected to be
negligible at LHC for bottomonium states. The recent ALICE results on
$\Upsilon$ production in Pb-Pb collisions at $\sqrt{s_{\rm
NN}}=5.02\;\rm{T}e\rm{V}$ will be presented and compared with previous
measurements at $\sqrt{s_{\rm NN}}=2.76\;\rm{T}e\rm{V}$. A comparison with
theoretical calculations will be performed as well. Results obtained in p-Pb
collisions at $\sqrt{s_{\rm NN}}=5.02\;\rm{T}e\rm{V}$ will also be discussed.
