MuRFs, brief for muscle specific RING finger proteins, correspond to a subfamily of the TRIM/RBCC protein family. Here, we review recent progress on the structural biology of MuRF1, the MuRF family member being most clearly associated with muscle diseases. The emerging understanding of the structural biology of MuRFs and their interaction with their numerous myocellular proteins, at least in part representing ubiquitination targets for MuRFs, is likely to provide future rationales to modulate their activity, thus affecting their roles in muscle disease progression.