Alexander Gibson, Lord Durie I (died 1644) was a Scottish judge and legal writer.
He was son of George Gibson of Goldingstones, a clerk of session, by his wife Mary Airth, of the family of Airth in Stirlingshire; William Gibson the lord of session was brother to his great-grandfather George Gibson. He graduated M.A. at the University of Edinburgh August 1588. On 14 December 1594 he was admitted third clerk of session.
On 10 July 1621 Gibson was appointed a lord of session, and took the title of Lord Durie, his clerkship being conferred on his son Alexander, to be held jointly with himself. Sir Robert Douglas, 6th Baronet stated that Gibson was created a baronet of Nova Scotia in 1628, but he does not appear to have used the title.
In 1633 Gibson was named a commissioner for reviewing the laws and collecting the local customs of the country. In 1640 he was elected a member of the committee of estates, and on 13 November 1641 his appointment as judge was continued under a new commission to the court. While the office of president of the College of Justice continued elective, Durie was twice chosen head of the court: for the summer session on 1 June 1642, and for the winter session of 1643. He died at his house of Durie on 10 June 1644. William Forbes, in the preface to his Journal of the Session (1714), praised Durie as "a man of a penetrating wit and clear judgment, polished and improved by much study and exercise".
From 11 July 1621, the day after his elevation to the bench, to 16 July 1642, Gibson preserved notes of decisions. They are the earliest digested collection of decisions in the Scottish law, and are often referred to as "Lord Durie's Practicks". They were published by his grandson Sir Alexander Gibson, as Decisions of the Lords of Council and Session, Edinburgh, 1690.