Fibrils are an important class of proteins that cannot be investigated by established techniques such as X‐ray crystallography and solution‐state NMR. Solid‐state NMR is currently developing as a tool for atomic‐resolution structure determination in these systems and first structures are now available. We discuss the methods applied to these systems and give an outlook on this emerging approach for the structural study of insoluble proteins. Important developments over the last decade have pushed this fast‐evolving technique to become a serious partner in structural biology, and proof‐of‐principle experiments have demonstrated that amyloid and prion structures can be determined. The main difficulties for further progress are caused by the large size of some of these proteins – a property they also share with other insoluble proteins. However, many elements of the technology needed to tackle these problems are now available and are reviewed here.