Dospat (Bulgarian: Доспат) is a town in the very south of Bulgaria, part of Smolyan Province, situated in the Rhodope Mountains, close to Dospat Dam. It is the administrative centre of the homonymous Dospat Municipality. As of December 2010, the town has a population of 2,425 inhabitants who are mainly Pomaks.
The town was probably founded by Despot Alexius Slav in the 12th-13th century, from whose title (despot) its name is very likely derived.
Dospat Dam is the highest dam in Bulgaria by altitude and, with its 22 km² of water area, the second largest in capacity. It is fed by the river Dospat. At the bottom of the lake is a former German military airport from the Second World War.
Dospat Peak on Livingston Island in the South Shetland Islands, Antarctica is named after Dospat.