  Dynamical symmetry breaking in three dimensional QED with $N$ flavors, which
has been mostly analyzed by solving the Schwinger-Dyson equations, is
investigated by means of the approximated Wilson, or non-perturbative,
renormalization group (RG). We study the RG flows of the gauge coupling and the
general four-fermi couplings allowed by the symmetry with concentrating our
interest on study of the phase structure. The RG equations have no gauge
parameter dependence in our approximation scheme. It is found that there exist
chirally broken and unbroken phases for $N > N_{\rm cr}$ ($3 < N_{\rm cr} < 4$)
and that the unbroken phase disappears for $N < N_{\rm cr}$. We also discuss
the spontaneous parity breaking in three dimensional QED with the four-fermi
interactions.
