  The measurement of direct photon production in Pb-Pb collisions at $
\sqrt{s_{\rm{NN}}} = 2.76 $ TeV and in pp collisions at $ \sqrt{s}= 7 $ TeV
with the ALICE experiment is presented. In Pb-Pb collisions a clear direct
photon signal below 3 GeV/$c$ is observed only for the $ 0-20 \mbox{ }\%$ most
central collisions. No excess is observed for semi-central and peripheral Pb-Pb
collisions and in pp collisions. Furthermore, in pp collision the measurement
of direct photon production in the range 10 $\leq p_{\rm{T}} \leq$ 60 GeV/$c$
is reported. The analysis is performed on the EMCal-triggered data taken in
$2011$. The two main sources of background, namely photons from fragmentation
processes and decay photons, have been subtracted from the inclusive photon
spectrum by means of an isolation technique combined with the study of the
transverse dispersion of electromagnetic showers. The measurement is in
agreement both with NLO pQCD calculations and with those performed by the ATLAS
and the CMS collaborations, extending the isolated photon spectrum investigated
at LHC towards lower values of $p_{\rm{T}}$.
