  We calculate the one-quark-loop amplitude for the low energy
$\gamma\gamma\to\pi\pi$ collision in the context of the Nambu and Jona-Lasinio
model with scalar and pseudoscalar four quark couplings to all orders in the
external momenta. We show that the NJL predictions for the
$\gamma\gamma\to\pi^+\pi^-$ reaction are not far from the Born amplitude, which
is close to the data, and is compatible with the chiral perturbation theory
estimations. We determine the corrections given by the NJL model in leading
order of $1/N_c$ to the chiral loop amplitude for $\gamma\gamma\to\pi^0\pi^0$.
Numerical results for the $\gamma\gamma\rightarrow\pi\pi$ cross sections and
for pion polarizabilities are given.
