DNA single-strand breaks (SSBs) are among the most common lesions arising in human cells, with tens to hundreds of thousands arising in each cell, each day. Cells have efficient mechanisms for the sensing and repair of these ubiquitous DNA lesions, but the failure of these processes to rapidly remove SSBs can lead to a variety of pathogenic outcomes. The threat posed by unrepaired SSBs is illustrated by the existence of at least six genetic diseases in which SSB repair (SSBR) is defective, all of which are characterised by neurodevelopmental and/or neurodegenerative pathology. Here, I review current understanding of how SSBs arise and impact on critical molecular processes, such as DNA replication and gene transcription, and their links to human disease.