A specialist in the early history of Christian liturgy, he has taught at the University of Notre Dame since 1985. He was previously Director of Studies at Chichester Theological College, Course Director in the St Albans Diocese Ministerial Training Scheme, and the Vice-Principal of Ripon College Cuddesdon, Oxford. He has written or edited over twenty books and has contributed more than ninety articles or essays. He has collaborated with Lawrence A. Hoffman on several essay collections about the evolution of worship in Christian and Jewish communities in North America.
He is also a priest-vicar of Westminster Abbey, an honorary canon of the Episcopal Diocese of Northern Indiana, a member of the Church of England Liturgical Commission. For eighteen years Bradshaw was chief editor of the international journal, Studia Liturgica, and he is also a former President both of Societas Liturgica and of the North American Academy of Liturgy. His book, The Search for the Origins of Christian Worship, has become a standard textbook. It has gone through two editions, and has been translated into French and Italian, with Japanese and Russian translations forthcoming.
The Anglican Ordinal: Its history and development from the Reformation to the present day (Alcuin Club Collections 53, London: SPCK 1971)
Daily Prayer in the Early Church: A Study of the Origin and Early Development of the Divine Office (Alcuin Club Collections 63, London: SPCK 1981; New York: OUP 1982; reprinted Eugene, Oregon: Wipf & Stock 2008)
Ordination Rites of the Ancient Churches of East and West (New York: Pueblo 1990)
The Search for the Origins of Christian Worship: Sources and Methods for the Study of Early Liturgy (London: SPCK/New York: OUP 1992, 2002)
Early Christian Worship: A Basic Introduction to Ideas and Practice (London: SPCK/Collegeville: The Liturgical Press, 1996, 2010)
The Apostolic Tradition: A Commentary (with Maxwell E. Johnson and L. Edward Phillips; Hermeneia Commentary Series; Minneapolis: Fortress Press 2002)