'Reign' in the Bible

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

And in the second year of the reign of Nebuchadnezzar Nebuchadnezzar dreamed dreams, wherewith his spirit was troubled, and his sleep brake from him.

There's a man in your kingdom in whom dwells the spirit of the holy gods. During your grandfather's reign, he was found to have insight, intelligence, and wisdom, like that of the gods. Your grandfather, King Nebuchadnezzar your kingly predecessor appointed him to be chief administrator over the magicians, enchanters, Chaldeans, and astrologers,

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

In the first year of the reign of King Belshazzar of Babylon, Daniel dreamed a dream, receiving visions in his mind while in bed, after which he recorded the dream, relating this summary of events.

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

"In the first year of the reign of Darius son of Ahasuerus, a descendant of the Medes, who was made king over the kingdom of the Chaldeans

In the first year of his reign I Daniel understood by books the number of the years, whereof the word of the LORD came to Jeremiah the prophet, that he would accomplish seventy years in the desolations of Jerusalem.