For the reason that starting of the twenty first century, there is no such thing as a doubt that the significance of synthetic intelligence has been highlighted in lots of fields, amongst which the memristor-based synthetic neural community expertise is anticipated to interrupt via the limitation of von Neumann in order to understand the replication of the human mind by enabling sturdy parallel computing means and environment friendly information processing and turn into an necessary manner in direction of the following era of synthetic intelligence. A brand new kind of nanodevice, specifically memristor, which relies on the variability of its resistance worth, not solely has essential purposes in nonvolatile data storage, but additionally presents obsessive progressiveness in extremely built-in circuits, making it one of the promising circuit parts within the post-Moore period. Particularly, memristors can successfully simulate neural synapses and construct neural networks; thus, they are often utilized for the preparation of assorted synthetic intelligence techniques. This research critiques the analysis progress of memristors in synthetic neural networks intimately and highlights the structural benefits and frontier purposes of neural networks primarily based on memristors. Lastly, some pressing issues and challenges in present analysis are summarized and corresponding options and future improvement developments are put ahead.