  We investigate the strong gravitational lensing phenomena caused by a black
hole with a dark matter halo. In this study, we examine strong gravitational
lensing with two significant dark matter models: the universal rotation curve
model and the cold dark matter model. To do this, we first numerically estimate
the strong lensing coefficients and strong deflection angles for both the
universal rotation curve and cold dark matter models. It is observed that the
deflection angle, denoted as $\alpha_D$, increases with the parameter $\alpha$
while holding the value of $\gamma \cdot 2M$ constant. Additionally, it
increases with the parameter $\gamma \cdot 2M$ while keeping the value of
$\alpha$ constant. The strong deflection angle, $\alpha_D$, for the black hole
with a dark matter halo, with parameters $\alpha=0$ and $\gamma \cdot 2M$,
greatly enhances the gravitational bending effect and surpasses the
corresponding case of the standard Schwarzschild black hole ($A=0, B=0,
\alpha=0, \gamma \cdot 2M=0$). Furthermore, we investigate the astrophysical
consequences through strong gravitational lensing observations, using examples
of various supermassive black holes such as $M87^{*}$ and $SgrA^{*}$ located at
the centers of several galaxies. It is observed that black holes with dark
matter halos can be quantitatively distinguished and characterized from the
standard Schwarzschild black hole ($A=0, B=0, \alpha=0, \gamma \cdot 2M=0$).
The findings in our analysis suggest that observational tests for black holes
influenced by dark matter halos are indeed feasible and viable.
