Joseph Green (1706—1788) was an English Colonial American clergyman and poet who published in 1743, "The Disappointed Cooper", mocking an old man's marriage to a much younger woman as well as criticizing the behavior of some New Light ministers.
Joseph Green's satirical poetry includes "To Mr. B Occasioned by His Verse" and "To Mr. Smibert on Seeing His Pictures". He also wrote "The Poet’s Lamentation for the Loss of his Cat, which he us’d to call his Muse", "On Mr. B...s’s singing an Hymn of his own composing", "To the Author of the Poetry in the last Weekly Journal", "A True Impartial Account of the Celebration of the Prince of Orange’s Nuptials at Portsmouth", "Inscription under Revd. Jn. Checkley’s Picture", “A fig for your learning, I tell you the Town” and “Hail! D——p——t of wondrous fame”.
Green was one of the members who signed the attestation of veracity regarding Phillis Wheatley's authorship of Poems on Various Subjects, Religious and Moral.