  We study the influence of the spacetime noncommutative parameter on the
strong field gravitational lensing in the noncommutative Reissner-Nordstr\"{o}m
black-hole spacetime. Supposing that the gravitational field of the
supermassive central object of the Galaxy is described by this metric, we
estimate the numerical values of the coefficients and observables for strong
gravitational lensing. Our results show that with the increase of the parameter
$\sqrt{\vartheta}$, the observables $\theta_{\infty}$ and $r_m$ decrease, while
$s$ increases. Our results also show that i) if $\sqrt{\vartheta}$ is strong,
the observables are close to those of the noncommutative Schwarzschild black
hole lensing; ii) if $\sqrt{\vartheta}$ is weak, the observables are close to
those of the commutative Reissner-Nordstr\"{o}m black hole lensing; iii) the
detectable scope of $\vartheta$ in a noncommutative Reissner-Nordstr\"{o}m
black hole lensing is $0.12\leq\sqrt{\vartheta}\leq0.26$, which is wider than
that in a noncommutative Schwarzschild black hole lensing,
$0.18\leq\sqrt{\vartheta}\leq0.26$. This may offer a way to probe the spacetime
noncommutative constant $\vartheta$ by the astronomical instruments in the
future.
