'Reign' in the Bible

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

In the second year of the reign of Nebuchadnezzar, Nebuchadnezzar dreamed dreams; and his spirit was troubled, and his sleep went from him.

So this Daniel prospered in the reign of Darius, and in the reign of Cyrus the Persian.

In the third year of the reign of king Belshazzar a vision appeared to me, even to me, Daniel, after that which appeared to me at the first.

in the first year of his reign I, Daniel, understood by the books the number of the years about which the word of Yahweh came to Jeremiah the prophet, for the accomplishing of the desolations of Jerusalem, even seventy years.