  We provide and discuss the precision predictions for the $W^+W^-\gamma$
production at the ILC including the full electroweak (EW) one-loop corrections
and high order initial state radiation (ISR) contributions in the Standard
Model. The dependence of the leading order (LO) and EW corrected cross sections
on the colliding energy is investigated. We find that the EW correction
suppresses the LO cross section significantly, and the ISR effect beyond ${\cal
O}(\alpha)$ is important near the threshold, but is negligible in the high
energy region. We provide the LO and EW corrected distributions of the
transverse momenta and rapidities of final $W^-$-boson and photon as well as
the $W$-pair invariant mass. From the various kinematic distributions, we find
that EW correction strongly depends on the final state phase space. We
investigate the leptonic decays of the final W-boson pair by adopting the
narrow width approximation (NWA), and find that the final produced photon and
leptons can be well separated from each other.
