The birth of a critical awareness of the problems involved in research into the historical Jesus necessarily entailed the discussion of the criteria which make it possible to construct a reliable picture of "historical Jesus" that is as "objective". The driving force behind the "Third Quest" as the recognition that the historical Jesus can be grasped only as a part of his own world, i.e. as a man embedded in the history of Jewish and Christian tradition. Despite some proposals which seek to detach the quest for the historical Jesus from the intellectual strategies, author believes that the investigation of the date and historical plausibility of traditions about the historical Jesus will continue to form a central axis of this quest. Even the most important of the alternatives to form and tradition criticism which this chapter discusses have been presented openly in association with the questions posed in tradition criticism. Keywords:Christian tradition; Jesus research; Jewish; third quest; tradition criticism