  Within the framework of the Covariant formulation of Light-Front Dynamics, we
develop a general non-perturbative renormalization scheme, based on the Fock
decomposition of the state vector and its truncation. The explicit dependence
of our formalism on the orientation of the light front, defined by a light-like
four vector $\omega$, is essential in order to analyze the structure of the
counterterms needed to renormalize the theory. We illustrate our framework for
scalar and fermion models
