Common material in Matthew and Mark indicate that Matthew was written after Mark. Since Mark dates from AD 45-60 Matthew most likely was written after that. Internal evidence in Matthew indicates it was written prior to the destruction of Jerusalem in AD 70.
Encountering the New Testament, Walter A. Elwell / Robert W. Yarbrough, 1998, Baker Books, page 79
A Survey of the New Testament, Third Edition, Robert H. Gundry, 1994, A Survey of the New Testament, Third Edition, Robert H. Gundry, 1994, Zondervan, page 161