<p>This paper is dedicated to the study of traveling wave dynamics in a discrete Nicholson’s blowflies equation with infinite distributed delay. Compared to the previous studies on the model with constant delay, the presence of infinite distributed delay makes the study of propagation properties more challenging. To overcome this difficulty, we present a novel approach that combines time-delay approximation techniques with refined comparison principles. This methodology enables us to establish the uniqueness (up to translation) of traveling waves, and show that they are exponentially stable in the sense that they attract other solutions of the Cauchy problem with wave-like initial values. To the best of our knowledge, our results represent the first study of stability and uniqueness of traveling waves in discrete equations with infinite distributed delay.</p>