  We calculate the electric polarizability $\alpha(q^2)$ of the proton in
virtual Compton scattering using the Skyrme model. The $q^2$ dependence of the
polarizability is comparable with the predictions obtained from the
non-relativistic quark model and the linear sigma model. The chiral behaviors
of our $\alpha(0)$ and $d^2\alpha(0)/d^2q^2$ agree with the results of the
chiral perturbation theory. The discrepancy can be traced back to the
contribution of the intermediate $\Delta$ state degenerate with the $N$ which
is a characteristic of a large-$N_C$ model.
