Discontinuity may refer to:
- Discontinuity (casting), An interruption in the normal physical structure or configuration of an article
 - Discontinuity (Geotechnical engineering) in geotechnics is a plane or surface marking a change in physical or chemical properties in a soil or rock mass
 - Discontinuity (mathematics), a property of a mathematical function
 - Discontinuity (linguistics), a property of tree structures in theoretical linguistics
 - Discontinuity (Postmodernism), a conception of history as espoused by the philosopher Michel Foucault.
 - A break in continuity (fiction), in literature
 - Fracture (geology), discontinuity in rocks