This proceeding constitutes the 13th International Conference on Biomimetic and Biohybrid Systems, held in Chicago, IL, USA, during July 8-11, 2024. The 27 full papers and 4 short papers were carefully reviewed and selected from 35 submissions. They were categorized under the following topics: Brain Network Modeling; Tools for Studying Behaviors; Sensors and Sensing, Navigational Systems; Control and Mechanics of Soft and Continuum Systems; System Design; Neural Networks for Computation; Bio Inspired Neural Networks for Control; Biohybrid Systems; and Biomechanics.