  The Yang-Mills-Chern-Simons theory in three-dimensional Minkowski space-time
is studied in a gauge-fixing scheme which interpolates between the covariant
gauge and light-cone gauge, the interpolating gauge-fixing. The ultraviolet
finiteness of the theory is proved via the Becchi-Rouet-Stora (BRS) algebraic
renormalization procedure, which allows us to demonstrate the vanishing of all
$\beta$-functions and all anomalous dimensions to all orders in perturbation
theory.
