Large quasi-electrostatic (QE) fields above thunderclouds [Pasko et al
, 1995] produce an upward traveling beam of similar to 1 MeV runaway e
lectrons which may contribute to the production of optical emissions a
bove thunderclouds referred to as Red Sprites. Results of a one dimens
ional computer simulation model suggest that the runaway electrons can
produce optical emissions similar in intensity and spectra to those o
bserved in Red Sprites, but only for large QE fields produced by posit
ive CG discharges lowering 250 C or more to ground from an altitude of
at least 10 km. Differences in predicted optical spectra from that of
other mechanisms suggest that the runaway electron mechanism can be r
eadily tested by high resolution spectral measurements of Red Sprites.