Physical systems exhibiting neuromechanical functions promise to enable structures with directly encoded autonomy and intelligence. We report on a class of neuromorphic metamaterials embodying bioinspired mechanosensing, memory, and learning functionalities obtained by leveraging mechanical instabilities and flexible memristive materials. Our prototype system comprises a multistable metamaterial whose bistable units filter, amplify, and transduce external mechanical inputs over large areas into simple electrical signals using piezoresistivity. We record these mechanically transduced signals using non-volatile flexible memristors that remember sequences of mechanical inputs, providing a means to store spatially distributed mechanical signals in measurable material states. The accumulated memristance changes resulting from the sequential mechanical inputs allow us to physically encode a Hopfield network into our neuromorphic metamaterials. This physical network learns a series of external spatially distributed input patterns. Crucially, the learned patterns input into our neuromorphic metamaterials can be retrieved from the final accumulated state of our memristors. Therefore, our system exhibits the ability to learn without supervised training and retain spatially distributed inputs with minimal external overhead. Our system's embodied mechanosensing, memory, and learning capabilities establish an avenue for synthetic neuromorphic metamaterials enabling the learning of touch-like sensations covering large areas for robotics, autonomous systems, wearables, and morphing structures.The nervous systems of animals comprise networks of distributed sensory, memory, and control elements that enable perception, reaction and adaptation in response to varied external stimuli. The coevolution of the nervous system and body morphology is thought to reduce the complexity of sensed signals due to morphological computing and short neuronal connections. This results in a form of neuromechanical control that requires few inputs to fulfil complex functions. 1, 2 Some organisms, such as comb jellies (phylum Ctenophora 3 ), perform complex tasks even without a central nervous system. This capability stems from coevolved neuromechanical systems that exploit morphological and sensory couplings to create autonomic responses, 4 which constitute one of the simplest forms of learned behavior. Typical autonomic behaviors include reflexes, 5 preflexes, and central pattern generators, 6 all of which leverage fast, decentralized sense-compute-actuate control loops. 7 At the most basic level, this is achieved through the synergy of morphology, sensing, computation, and actuation systems that perceive stimuli, 8 filter noise, 9 and store valuable information in the physical state of the systems. Achieving similar capabilities in synthetic systems is important for realizing the next generation of autonomic, multifunctional, power-efficient materials, devices, and systems. Single artificial neuromechanical functions encoded into material systems ha...