Gottlieb Theophil Muffat (April 1690 – 9 December 1770) was a German composer/organist and son of Georg Muffat. He studied with Johann Fux in Vienna from 1711 onward and was appointed court organist in 1717. He assisted in the performance of Fux's opera Costanza e fortezza in Prague. His students included several young members of the royal family, among them the future empress Maria Theresia; he was promoted to second organist in 1729 and first organist in 1741 and apparently stopped composing music after this final promotion. Two of his most famous works are 72 Versetl sammt 12 Toccaten (Vienna, 1726) and Componimenti musicali per il cembalo (Augsburg, ca. 1736).