  In this paper, the Joule-Thomson expansion of the higher dimensional
nonlinearly AdS black hole with power Maxwell invariant source is investigated.
The results show the Joule-Thomson coefficient has a zero point and a divergent
point, which are coincide with the inversion temperature $T_i$ and the zero
point of Hawking temperature, respectively. The inversion temperature increases
monotonously with inversion pressure. For high-pressure region, the inversion
temperature decreases with the dimensionality $D$ and the nonlinearity
parameter $s$, whereas it increases with the charge $Q$. However, $T_i$ for
low-pressure region increase with $D$ and $s$, while it decreases with $Q$. The
ratio ${\eta _{\rm{BH}}}$ between the minimum of inversion temperature and the
critical temperature does not depend on $Q$, it recovers the higher dimensional
Reissner-N\"{o}rdstrom AdS black hole case when $s=1$. However, for $s>1$, it
becomes smaller and smaller as $D$ increase and approaches a constant when
$D\rightarrow\infty$. Finally, we found that increase of mass $M$ and $s$, or
reduce the charge $Q$ and $D$ can enhance the isenthalpic curve, and the effect
of $s$ on the isenthalpic curve is much greater than other parameters.
