It would have been in the first couple of centuries AD that the texts were actually WRITTEN. later still, when they were collected together.
Another Answer:
Some biblical scholars will date writings of the books that would become the New Testament as early as Matthew in the late 40s to early 50s A.D. ending with the book of Revelation by John in circa 90-95 A.D. These would then consider the 'Codex Vaticanus' in 350 A.D. to be the first 'complete' Bible written.
The early Church created the New Testament.
Wesley's New Testament was created in 1755.
Worrell New Testament was created in 1904.
Unvarnished New Testament was created in 1991.
New Testament Studies was created in 1955.
The Common Edition New Testament was created in 1999.
The New Testament in the Original Greek was created in 1881.
Journal for the Study of the New Testament was created in 1978.
Twentieth Century New Testament was created in 1904.
The New Testament - The Truth - was created on 2004-03-02.
A Plain Introduction to the Criticism of the New Testament was created in 1861.
Phillips New Testament in Modern English was created in 1958.