We study the application of the Breitenlohner–Maison–’t Hooft–Veltman (BMHV) scheme of Dimensional Regularization to the renormalization of massless chiral gauge theories; chiral Yang-Mills theory, and chiral Quantum Electrodynamics, being the main ingredients of the Standard Model, up to one and two-loop level, respectively. We focus on the counterterm structure specific to the BHMV scheme induced by the non-anticommuting Dirac γ_5 matrix and the breaking of the Becchi-Rouet-Stora-Tyutin (BRST) invariance. We find the singular counterterms and BRST symmetry restoring counterterms needed for the complete renormalization of the models. This study is based on the symmetry requirements coming from the Algebraic Renormalization and regularized Quantum Action Principle. We find the Renormalization Group Equations for the Yang-Mills model at the first order within this framework and compare the procedure with standard symmetry-invariant regularizations. For chiral Quantum Electrodynamics, we determine the full structure of symmetry-restoring counterterms up to the 2-loop level and find no discrepancy from the 1-loop level structures. The counterterms have interpretation in terms of restoration of Ward identities that play the role of the benchmark for this 2-loop study. Hence, we prove the correctness of results within this framework, what is the property of a self-consistent scheme. We impose future proposals for the application of the BMHV scheme to phenomenological studies.