The combined action of cosmic ray showers (CRS) and runaway breakdown (RB)
on thunderstorm atmosphere is studied. The ionization of atmosphere produce
d by CRS core being strongly amplified in RB conditions is shown to be suff
icient to generate a highly ionized plasma region. Electric polarization of
this plasma region is manifested in a significant local amplification of a
thunderstorm electric field, what could result in a local electric breakdo
wn and lead to initiation of lightning. Experiments which could check the p
redictions of the theory are proposed. (C) 1999 Published by Elsevier Scien
ce B.V.