  We present the measurements related to global polarization of $\Lambda$
hyperons and spin alignment of $\mathrm{K^{*0}}~$ vector mesons at mid-rapidity
for Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}~$= 2.76 TeV using the ALICE
detector at the LHC. The global polarization measurements are carried out with
respect to the first order event plane while the spin alignment measurements
are carried out with respect to the production plane. No global polarization
signal for $\Lambda$ is observed for 5-15\% and 15-50\% central Pb-Pb
collisions. The spin density matrix element $\rho_{00}$ is found to have values
slightly below 1/3 at low transverse momentum ($p_{\mathrm{T}}$) for
$\mathrm{K^{*0}}~$ mesons, while it is consistent with 1/3 (no spin alignment)
at higher $p_{\mathrm{T}}$. No spin alignment is observed for
$\mathrm{K^{*0}}~$ in pp collisions at $\sqrt{s}$ = 13 TeV and for the spin
zero hadron $\mathrm{K^{0}_{S}}~$ in 20-40\% Pb-Pb collisions at
$\sqrt{s_{\mathrm{NN}}}~$ = 2.76 TeV.
