  The interplay between the chiral anomaly and the non-leptonic weak
Hamiltonian is studied. The structure of the corresponding effective Lagrangian
of odd intrinsic parity is established. It is shown that the factorizable
contributions (leading in $1/N_C$) to that Lagrangian can be calculated without
free parameters. As a first application, the decay $K^+ \ra \pi^+ \pi^0 \gamma$
is investigated.
