Sir Patrick Agnew, 1st Baronet (c. 1578–1661) was the son of Sir Andrew Agnew of Lochnaw and Agnes Stewart.
He was created 1st Baronet Agnew, of Lochnaw on 28 July 1629. On his death in 1661 he was succeeded in the baronetcy by his eldest son. He was buried at Leswalt.
He was Member of the Parliament of Scotland for Wigtownshire, 1628–1633 and 1643–1647.
He married Margaret Kennedy, daughter of Sir Thomas Kennedy, Master of Cassillis and Elizabeth McGill, (c1598), and had issue: