  We perform the perturbative generation of the higher-derivative Chern-Simons
contribution to the effective action in the three-dimensional QED at zero and
finite temperature. In the latter case, we show that as the temperature goes to
infinity this contribution vanishes. However, as expected, as the temperature
goes to zero only the covariant part survives. The non-covariant part
contributes only in intermediate temperatures where presents a maximum.
