We explicitly carry out the renormalization of non-abelian Chern-Simons field theories with matter in (2 + 1) dimensions. All the renormalization constants are calculated to the leading two-loop order both in terms of component fields and N = 1 superfields for the fundamental representation of the SU(n), Sp(n) and SO(n) groups. Renormalization-group fixed points are found, and their stability properties are examined. It is shown that the N = 2 supersymmetry is realized as an infrared fixed-point solution. where the ultraviolet divergencies cancel.