  We report on the production of inclusive $\Upsilon$(1S) and $\Upsilon$(2S) in
p-Pb collisions at $\sqrt{s_{\rm NN}}=5.02$ TeV at the LHC. The measurement is
performed with the ALICE detector at backward ($-4.46< y_{{\rm cms}}<-2.96$)
and forward ($2.03< y_{{\rm cms}}<3.53$) rapidity down to zero transverse
momentum. The production cross sections of the $\Upsilon$(1S) and
$\Upsilon$(2S) are presented, as well as the nuclear modification factor and
the ratio of the forward to backward yields of $\Upsilon$(1S). A suppression of
the inclusive $\Upsilon$(1S) yield in p-Pb collisions with respect to the yield
from pp collisions scaled by the number of binary nucleon-nucleon collisions is
observed at forward rapidity but not at backward rapidity. The results are
compared to theoretical model calculations including nuclear shadowing or
partonic energy loss effects.
