  We study the chiral critical behaviors of QED by using Non-Perturbative
Renormalization Group (NPRG). Taking account of the non-ladder contributions,
our flow equations are free from the gauge parameter ($\alpha$) dependence. We
clarify the chiral phase structure, and calculate the anomalous dimension of
$\bar\psi\psi$, which is enhanced compared to the ladder approximation. We find
that the cutoff scheme dependence of the physical results is very small.
