When was Matthew's Gospel written?

Answer

To answer this question we need first to identify the sources used by the author of this Gospel, because the Gospel According to St Matthew would have been written some time after the sources that he used.

Evidence suggests that Matthew wrote his Gospel in Greek and that he copied material from the Gospel According to St Mark, because, whenever his Gospel contains the same material as Mark's Gospel, the text is identical in Greek. This could not have happened if they were both relying, separately, on a common oral or written source. We can also establish that Mark's Gospel was written approximately 70 CE, so Matthew's Gospel was written some time later.

Antagonism between Jews and Christians gradually emerged late in the first century. Matthew's Gospel contains less anti-Jewish sentiment than Luke's Gospel, which can be dated to the 90's or very early in the second century, and much less than John's Gospel, which was somewhat later.

Scholars consider that Matthew's Gospel was written in the 80s CE.  

Answer

Matthew's Gospel was written as early as 50AD and completed by 70AD.
 

Answer

All the New Testament gospels were actually anonymous until attributed by the second-century Church Fathers to the apostles whose names they now bear. On that score, we have no reason to believe that it was Matthew who wrote the Gospel, and scholars say it could not have been written by an eyewitness to the events portrayed.

Matthew's Gospel is believed to have been written in the eighties of the first century, although Raymond E. Brown (An Introduction to the New Testament) suggests that several years should be allowed either side of that decade.
 

Answer

The book of Matthew was written by Matthew, also called Levi, the tax collector. He wrote it probably between A.D. 60 and 70.