The Prince-Bishopric of Minden was an ecclesiastical principality of the Holy Roman Empire. It was progressively secularized following the Protestant Reformation when it came under the rule of Protestant rulers, and by the Peace of Westphalia of 1648 given to Brandenburg as the Principality of Minden. It must not be confused with the Roman Catholic diocese of Minden, which was larger, and over which the prince-bishop exercised spiritual authority.

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.