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

Strong Gravitational Lensing by Sgr A* and M87* Black Holes embedded in Dark Matter Halo exhibiting string cloud and quintessential field