The Prince-Bishopric of Brixen was an ecclesiastical principality of the Holy Roman Empire in the present-day northern Italian province of South Tyrol. It should not be confused with the larger Catholic diocese, over which the prince-bishops exercised only the ecclesiastical authority of an ordinary bishop. The bishopric in the Eisack/Isarco valley was established in the 6th century and gradually received more secular powers. It gained imperial immediacy in 1027 and remained an Imperial Estate until 1803, when it was secularised to Tyrol. The diocese, however, existed until 1964, and is now part of the Diocese of Bolzano-Brixen.

In the Holy Roman Empire, the German term Hochstift referred to the territory ruled by a bishop as a prince, as opposed to his diocese, generally much larger and over which he exercised only spiritual authority. The terms prince-bishopric and ecclesiastical principality are synonymous with Hochstift. Erzstift and Kurerzstift referred respectively to the territory (prince-archbishopric) ruled by a prince-archbishop and an elector-archbishop while Stift referred to the territory ruled by an imperial abbot or abbess, or a princely abbot or abbess. Stift was also often used to refer to any type of ecclesiastical principality.