In the Baroque era, the Te Deum was sung at important dynastic and political events such as coronations, weddings, baptisms, and victories. This volume contains the first modern edition of two Te Deum settings by Johann Joseph Fux (ca. 1660-1741) who was employed as composer and chapel master at the Imperial court in Vienna. Fux probably wrote the five-part solemn Te Deum K 271 in 1704 during the War of the Spanish Succession. It was replayed over a long period of time on occasion of dynastic events in Vienna, for example at the wedding of Archduchess Maria Theresia and Franz Stephan of Lotharingia in 1736. Copies preserved in Prague and Brno textify on behalf of the work's distribution outside of Vienna. On the other hand, no performance dates are known for the monumental Te Deum L 35 for double choir, the unique source of which is located in Prague. It was probably performed alongside the ringing of bells and the firing of salutes in the course of celebrations after an important military victory. The scientific edition of both compositions in supplemented by a critical apparatus and indications for performance practice. The historical context and the musical setting is extensively examined in the introduction. The scientific commentary is presented bilingually (German and English).