  In this paper, we calculate thermodynamical quantity of Kerr-Newman-AdS black
hole solution in quintessence matter. Then, we show that how the rotation and
cosmological parameters effect to the thermodynamics properties of black hole.
Also, we investigate both types of phase transition for different values of
$\omega$ parameter in extended phase space. We notice that type one of phase
transition occurs for $P<0.42$ and $a<0.5$. And also we see that the phase
transition point shifts to higher entropy when pressure $P$, rotation parameter
$a$ and $\alpha$ increase. Also, we find that by changing parameter $\omega$
from -1 to $-\frac{1}{3}$, the critical point shifts to higher entropy. Then we
study type two of phase transition and show critical points increase by
increasing parameter $\alpha$. Also, we show that the critical point shifts to
higher entropy when $\alpha$, $\omega$ and rotation parameter $a$ decrease.
Finally, we find that by decreasing pressure the first critical point shifts to
lower entropy and second critical point shifts to higher entropy.
