  We extend a constrained version of Implicit Regularization (CIR) beyond one
loop order for gauge field theories. In this framework, the ultraviolet content
of the model is displayed in terms of momentum loop integrals order by order in
perturbation theory for any Feynman diagram, while the Ward-Slavnov-Taylor
identities are controlled by finite surface terms. To illustrate, we apply CIR
to massless abelian Gauge Field Theories (scalar and spinorial QED) to two loop
order and calculate the two-loop beta-function of the spinorial QED.
