We show within the Wilson renormalization group framework how the flow
equation method can be used to prove the perturbative renormalizabili
ty of relativistic massive Phi(4)(4). Furthermore we prove the regular
ity of the renormalized relativistic one-particle irreducible n-point
Green functions in the region predicted by axiomatic quantum field the
ory which ensures that physical renormalization conditions for the two
-point function can be imposed.