'Reign' in the Bible

In the third year of the reign of Jehoiakim king of Judah, Nebuchadnezzar king of Babylon came to Jerusalem and besieged it.

In the second year (604 b.c.) of the reign of Nebuchadnezzar, Nebuchadnezzar had dreams which troubled and disturbed his spirit and [interfered with] his ability to sleep.

So this [man] Daniel prospered and enjoyed success in the reign of Darius and in the reign of Cyrus the Persian.

In the third year of the reign of King Belshazzar a [second] vision appeared to me, Daniel, [this was two years] after the one that first appeared to me.

in the first year of his reign, I, Daniel, understood from the books the number of years which, according to the word of the Lord to Jeremiah the prophet, must pass before the desolations [which had been] pronounced on Jerusalem would end; and it was seventy years.