The Prince-Bishopric of Lübeck, was an ecclesiastical principality of the Holy Roman Empire until 1803. Originally ruled by Roman-Catholic bishops, after 1586 it was ruled by lay administrators and bishops who were members of the Protestant Holstein-Gottorp line of the House of Oldenburg. The prince-bishops had seat and vote on the Ecclesiastical Bench of the College of Ruling Princes of the Imperial Diet.

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.