Until the latter half of the eighteenth century, the apostolic authorship of ‘the Gospel according to Matthew’ seems to have been generally accepted. But questions and doubts began to arise from different points of view in the examination of what were regarded as the relevant documents; and it would be a reasonable assessment of the general opinion of current scholarship to say that, whilst it may be agreed that Matthew is probably in some sense behind the Gospel that bears his name, there are few, if any, who would claim for him complete responsibility for the work. Yet, in the second, third and fourth centuries of the Christian era, the authorship of Matthew was not merely unquestioned: it was repeatedly and positively affirmed. These affirmations, however, have been subjected to close scrutiny, and even the basic declaration of Papias of Hierapolis, a declaration that belongs to the earlier part of the second century, has been used to refute the claim to apostolic authorship. It is the purpose here to examine the early evidence again, in the hope of finding some solid ground in the critical morass where so many seekers are apt to lose their way.