The pion polarisability is investigated in the Nambu-Jona-Lasinio mode
l at finite temperature. The quark and pion loops, scalar and vector i
ntermediate resonanses were considered. We have shown that the polariz
abilities of charge and neutral pions have a very different behavior n
ear the critical temperature if we consider the Compton effect off the
pion. The charged pion polarizability is positive, decreases very qui
ckly in the region where T > 200MeV and has no contributiolls from mes
on clouds. The neutral pion polarizability is negative and monotonical
ly increases in absolute value with T together with contributions of p
ion clouds.