  We report on the calculation of the next-to-leading order QCD corrections to
the production of top--anti-top quark pairs in association with a hard jet at
the Tevatron and at the LHC. We present results for the t tbar + jet cross
section and the forward--backward charge asymmetry. The corrections stabilize
the leading-order prediction for the cross section. The charge asymmetry
receives large corrections.
