  We study rapidity-gap events in $e^+e^-$ annihilation at the Z boson peak
initiated by the emission of a virtual photon. This mechanism is suppressed by
the QED coupling constant, but it is enhanced due to a large propagator term
from the virtual photon. For typical kinematics, we find a smaller event rate
than analogous QCD type gap events. In the small jet-pair invariant mass limit,
the QED type events follow a $1+\cos^2\theta$ distribution in the jet-pair
scattering angle, instead of the $\sin^2\theta$ distribution of the QCD case.
