James Graham, 1st Duke of Montrose (1682-7, January, 1742) was a Scottish aristocratic statesman in the early eighteenth century. Originally the 4th Marquis of Montrose, he 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. He was also briefly regent for the United Kingdom in 1714, upon the death of Queen Anne. Apart from his political career, the Duke is frequently associated with Robert MacGregor, who is popularly remembered by the name of Rob Roy.

|- style="text-align: center;" | width="30%" |Preceded by:
The Duke of Richmond and Lennox | width="40%" style="text-align: center;" |Lord High Admiral of Scotland
1705–1706 | width="30%" |Succeeded by:
The Earl of Wemyss

|- style="text-align: center;" | width="30%" |Preceded by:
The Marquess of Annandale | width="40%" style="text-align: center;" |Lord President of the Council of Scotland
1706–1707 | width="30%" |Succeeded by:
Office abolished

|- style="text-align: center;" | width="30%" |Preceded by:
The Duke of Queensberry and Dover | width="40%" style="text-align: center;" |Lord Privy Seal of Scotland
1709–1713 | width="30%" |Succeeded by:
The Duke of Atholl

|- style="text-align: center;" | width="30%" |Preceded by:
The Earl of Mar | width="40%" style="text-align: center;" |Secretary of State for Scotland
1714–1715 | width="30%" |Succeeded by:
The Duke of Roxburghe

|- style="text-align: center;" | width="30%" |Preceded by:
The Earl of Ilay | width="40%" style="text-align: center;" |Lord Clerk Register
1716 | width="30%" |Succeeded by:
Lord Polwarth

|- style="text-align: center;" | width="30%" |Preceded by:
The Marquess of Annandale | width="40%" style="text-align: center;" |Lord Keeper of the Great Seal of Scotland
1716–1733 | width="30%" |Succeeded by:
The Earl of Ilay