  The ALICE Collaboration at the LHC has measured the J/$\psi$ and $\psi^{'}$
photoproduction at mid-rapidity in ultra-peripheral Pb-Pb collisions at
$\sqrt{s_{\rm NN}}=2.76$ TeV. The charmonium is identified via its leptonic
decay for events where the hadronic activity is required to be minimal. The
analysis is based on an event sample corresponding to an integrated luminosity
of about 23 $\mu\rm{b}^{-1}$. The cross section for coherent and incoherent
J/$\psi$ production in the rapidity interval $-0.9<y<0.9$, are
$\mathrm{d}\sigma_{{\rm J}/\psi}^{\rm coh}/\mathrm{d}y =
2.38^{+0.34}_{-0.24}\big(\mathrm{sta+sys}\big)$mb. and $\mathrm{d}\sigma_{{\rm
J}/\psi}^{\rm inc}/\mathrm{d}y =
0.98^{+0.19}_{-0.17}\big(\mathrm{sta+sys}\big)$mb, respectively. The results
are compared to theoretical models for J/$\psi$ production and the coherent
cross section is found to be in good agreement with those models incorporating
moderate nuclear gluon shadowing, such as EPS09 parametrization. In addition
the cross section for the process $\gamma\gamma\rightarrow e^+ e^-$ has been
measured and found to be in agreement with models implementing QED at leading
order.
