Memristors have recently become powerful competitors toward artificial synapses and neuromorphic computation, arising from their structural and electrical similarity to biological synapses and neurons. From the diversity of materials, numerous organic and inorganic materials have proven to exhibit great potential in the application of memristors. Herein, this work focuses on a class of memristors based on organic frameworks (OFs) materials, and pay attention to the most advanced experimental demonstrations. First, the typical device structures and memristive switching mechanisms are introduced. Second, the latest progress of OFs‐based memristors is comprehensively summarized, including metal‐organic frameworks (MOFs), covalent organic frameworks (COFs), and hydrogen‐bonded organic frameworks (HOFs), as well as their applications in data storage, artificial synapses, and neuromorphic devices. Finally, the future challenges and prospects of OFs‐based memristors are deeply discussed.