Biological cell membranes contain various types of ion channels and transmembrane pores in the 1–100 nm range, which are vital for cellular function. Individual channels can be probed electrically, as demonstrated by Neher and Sakmann in 1976 using the patch-clamp technique [Neher and Sakmann (1976) Nature 260, 799–802]. Since the 1990s, this work has inspired the use of protein or solid-state nanopores as inexpensive and ultrafast sensors for the detection of biomolecules, including DNA, RNA and proteins, but with particular focus on DNA sequencing. Solid-state nanopores in particular have the advantage that the pore size can be tailored to the analyte in question and that they can be modified using semi-conductor processing technology. This establishes solid-state nanopores as a new class of single-molecule biosensor devices, in some cases with submolecular resolution. In the present review, we discuss a few of the most important recent developments in this field and how they might be applied to studying protein–protein and protein–DNA interactions or in the context of ultra-fast DNA sequencing.