James Graham, 1st Duke and 4th Marquess of Montrose (April 1682 – 7 January 1742) was a Scottish aristocratic statesman in the early eighteenth century.

Originally the fourth Marquess of Montrose, James was elevated to a dukedom in 1707, as a reward for his important support of the Act of Union, whilst being Lord President of the Scottish Privy Council.

In 1719, he was one of the main subscribers to the Royal Academy of Music (1719), a corporation that produced baroque opera on the stage.

His name was listed by Lockhart in 1711 amongst other high profile people who were claimed to have received bribes to support the vote on the Union.

In Harold French's Rob Roy, the Highland Rogue, Graham is played by Michael Gough.