The parametrisation of the photon structure function in the low Q(2) region
is formulated. It includes the VMD contribution and the QCD improved parto
n model component suitably extrapolated to the low Q(2) region. The paramet
risation describes reasonably well existing experimental data on sigma(gamm
a gamma) for real photons and the low Q(2) data on sigma(gamma*gamma). Pred
ictions for sigma(gamma gamma) and for sigma(gamma*gamma) for energies whic
h may be accesssible in future linear colliders are also given.