Magnetorheological (MR) materials are smart materials whose rheological properties change significantly under the influence of magnetic fields. These materials mainly include fluids, elastomers, and greases. The components of MR materials consist of magnetic particles, a non-magnetic carrier liquid or matrix, and additives. The unique MR effect of these materials makes them widely used in robotics and medical devices. Improving the properties of MR materials and utilizing their characteristics are of great significance for the design and application of modern electromechanical devices. Therefore, this paper presents the composition, characteristics, and working principles of MR materials, as well as the latest progress in their applications in robotics and medical devices. Firstly, the composition and fabrication process of MR materials are introduced. Then, devices based on MR materials, including actuators, clutches, dampers, pumps, grippers for robots and medical devices, and MR robots, are extensively reviewed. Finally, a discussion of future research directions and technological challenges is provided as the conclusion of this review. The aim is to provide useful information to facilitate the design of robots and medical devices. Graphical Abstract Among the advancements of soft-bodied robots or micro-robots, MR materials exhibit the ability to deform under external magnetic fields, making them highly suitable for fabricating robots. 29 , 66 , 67 Hua et al. 68 designed an MRF-filled soft crawling robot with magnetic actuation. The robot achieves anisotropic magnetic torque-driven crawling, avoiding magnetic interference when the field is off. It demonstrates potential for applications in confined spaces, offering a novel approach to soft robotics with improved control and fabrication efficiency. McDonald et al. 69 developed an MRF-based soft robot with integrated flow control components, where motion is regulated by magnetic field-induced changes in fluid viscosity and pressure drop. This design enables multi-degree-of-freedom actuation through a single inlet and outlet, reducing the complexity of fluidic connections. The robot achieves complex behaviors such as bending, gripping, and independent control of multiple actuators, improving both autonomy and scalability while preserving compliance and adaptability. Chen et al. 70 designed a solid-liquid state transformable MRF-Robot made from an MRF. The MRF-Robot can perform diverse tasks such as large deformation, splitting, merging, object manipulation, and gradient pulling, making it suitable for biomedical applications like drug delivery and thrombus clearance. Li et al. 71 developed an untethered MRF robot encapsulated within an elastic membrane. The robot can wrap and transport delicate objects like tomatoes without causing damage, and it can also navigate through complex mazes shaped like letters. These capabilities highlight its potential for handling soft objects and operating in confined spaces. Min et al. 72 reported a stiffness-tunable, soft adhesive robot inspired by the velvet worm, utilizing an MRE that rapidly changes stiffness under an external magnetic field. This robot achieves precise adhesion control with low preload, enabling delicate grasping of soft and wrinkled surfaces without damage. The robot can unscrew nuts, and assist in mouse tumor removal surgery, showing potential in biomedical engineering (Figure 2e Figure 1: Proportional classification of MR materials applications in robots and medical devices based on Refs. [28], [29], [30], [31], [32], [33], [34], [35 Copyright (2022), Institute of Electrical and Electronics Engineers. 28 Copyright (2023), American Chemical Society. 29 Copyright (2024), Institute of Electrical and Electronics Engineers. 30 Copyright (2020), Institute of Electrical and Electronics Engineers. 31 , 34 Copyright (2022), reprinted with permission from Tan et al. 32 Copyright (2023), Institute of Electrical and Electronics Engineers. 33 Copyright (2021), Institute of Electrical and Electronics Engineers. 35 Figure(s) reproduced with permissions from the institutions/holders mentioned. ).