[1] He was Master of Corpus from 1698 to 1716, clashing with Robert Moss, and Vice-chancellor of the University of Cambridge, in 1699 and 1713.

With the support of Thomas Tenison, he became chaplain to Sir Stephen Fox, and rector of Minster-in-Thanet.

[2] A Whig in politics, he became chaplain to George I of Great Britain, and rector of St. Martin's-in-the-Fields in 1716.

As bishop of Ely, Green had visitatorial powers at Trinity College, Cambridge, and intervened from 1729 in the quarrel between Richard Bentley, who was the Master, and the Fellows.

He was known as a “finical” character, a taker of snuff and sometimes called “Miss Green” for his feminine face.