  In this paper we investigate the power suppressed contributions from
two-particle and three-particle twist-4 light-cone distribution amplitudes
(LCDAs) of photon within the framework of light-cone sum rules. Compared with
leading twist LCDA result, the contribution from three-particle twist-4 LCDAs
is not suppressed in the expansion by $1/Q^2$, so that the power corrections
considered in this work can give rise to a sizable contribution, especially at
low $Q^2$ region. According to our result, the power suppressed contributions
should be included in the determination of the Gegenbauer moments of pion LCDAs
with the pion transition form factor.
