First measurements of the azimuthal anisotropy of neutral pions produced in Pb-Pb collisions at a center-of-mass energy of $\sqrt{{s}_{NN}}=2.76\text{ }\text{ }\mathrm{TeV}$ are presented. The amplitudes of the second Fourier component (${v}_{2}$) of the ${\ensuremath{\pi}}^{0}$ azimuthal distributions are extracted using an event-plane technique. The values of ${v}_{2}$ are studied as a function of the neutral pion transverse momentum (${p}_{T}$) for different classes of collision centrality in the kinematic range $1.6<{p}_{T}<8.0\text{ }\text{ }\mathrm{GeV}/c$, within the pseudorapidity interval $|\ensuremath{\eta}|<0.8$. The CMS measurements of ${v}_{2}({p}_{T})$ are similar to previously reported ${\ensuremath{\pi}}^{0}$ azimuthal anisotropy results from $\sqrt{{s}_{NN}}=200\text{ }\text{ }\mathrm{GeV}$ Au-Au collisions at RHIC, despite a factor of $\ensuremath{\sim}14$ increase in the center-of-mass energy. In the momentum range $2.5<{p}_{T}<5.0\text{ }\text{ }\mathrm{GeV}/c$, the neutral pion anisotropies are found to be smaller than those observed by CMS for inclusive charged particles.