  We investigate both the intermediate late-time tail and the asymptotic tail
behavior of the charged massive Dirac fields in the background of the
Kerr-Newman black hole. We find that the intermediate late-time behavior of
charged massive Dirac fields is dominated by an inverse power-law decaying tail
without any oscillation, which is different from the oscillatory decaying tails
of the scalar field. We note that the dumping exponent depends not only on the
angular quantum numbers $m$, the separation constant $\lambda$ and the rotating
parameter $a$, but also on the product $seQ$ of the spin weight of the Dirac
field and the charges of the black hole and the fields. We also find that the
decay rate of the asymptotically late-time tail is $t^{-5/6}$, and the
oscillation of the tail has the period of $2\pi / \mu$ which is modulated by
two types of long-term phase shifts.
