  The distribution of descents in fixed conjugacy classes of $S_n$ has been
studied, and it is shown that its moments have interesting properties. Fulman
proved that the descent numbers of permutations in conjugacy classes with large
cycles are asymptotically normal, and Kim proved that the descent numbers of
fixed point free involutions are also asymptotically normal. In this paper, we
generalize these results to prove a central limit theorem for descent numbers
of permutations in any conjugacy class of $S_n$.
