  We perform a perturbative QCD analysis of the quark transverse momentum
effect on the pion-photon transition form factors $F_{\pi \gamma}$ and $F_{\pi
\gamma^*}$ in the standard light-cone formalism, with two phenomenological
models of wavefunction as the input of the non-perturbative aspect of the pion.
We point out that the transverse momentum dependence in both the numerator and
the denominator of the hard scattering amplitude is of the same importance and
should be considered consistently. It is shown that after taking into account
the quark transverse momentum corrections, the results obtained from different
model wave function are consistent with the available experimental data at
finite $Q^2$.
