  We investigate the spontaneous symmetry breaking in a nonlocal version of the
scalar QED. When the mass parameter $m^2$ satisfies the requirement $m^2>0$, we
find that all fields, including the Nambu-Goldstone field, acquire a non-zero
mass dependent on the nonlocal scales. On the other hand, when $m^2=0$, we find
that the nonlocal corrections to the masses are very small and can be
neglected.
