We report results for the lowest even-$N$ moments of the
flavor-nonsinglet structure functions $F_2$ and $F_L$ in QCD at the fourth order
in the perturbative expansion in the strong coupling constant $\alpha_s$.
Our results are presented in numerical form and we compare them with the
leading and subleading terms of the threshold expansion for large values of $N$,
which corresponds to the limit $x \to 1$.