Neuronal network is the structural basis for the execution of higher cognitive functions in the brain. Research has shown that learning, memory, and neurodegenerative diseases are closely related to neuronal network plasticity. Therefore, uncovering the mechanisms that regulate and modify neuronal network plasticity is of great significance for understanding information processing in the nervous system and for the treatment of diseases. Currently, neuronal networks cultured on microelectrode array (MEA) provide an ideal model for investigating learning and memory mechanisms in vitro. Additionally, studying such models offers a unique perspective for the prevention and treatment of neurodegenerative diseases. In this review, we summarize relevant research on functional network construction based on recording the electrical signals of neuronal networks cultivated on MEA. We focus on two aspects: 2D neuronal networks and 3D brain organoid development, as well as the effects of open-loop and closed-loop electrical stimulation on neuronal network plasticity. Lastly, we provide an outlook on the future applications of studying neuronal network plasticity using in vitro cultured networks.