His first work comprises 34 *Cantiones quae ab argumento sacrae vocantur*, for 5 and 6 parts (1575). Sixteen other motets of his appeared together with eighteen by Byrd, his great pupil and collaborator at the court organ. A famous motet of his for 40 voices divided into 5 choirs is entitled *Spem in alium non habuit*.
He was the first to adopt musical notation to the vernacular text of the new English liturgy, publishing several sacred services and also a four-voice mass (*Sine titulo*), one in five (*Salve intemerata*), and various other four-voice compositions: *Venite*, *Te Deum*, *Benedictus*, *Kyrie*, *Credo*, *Sanctus*, *Gloria*, *Magnificat*, *Nunc dimittis*, in the *First book of selected Church music* (1641).
BIBL.: list of works in G. Grove, *Dictionary of Music and Musicians*, s.v., III, London 1928. Studies: D. Stevens, *The Keyboard music of T. T.* in *Musical Times*, 93 (1952), pp. 303-307.