David Lindsay, 1st Duke of Montrose (1440 – December 25, 1495) was a Scottish nobleman.
He was the son of Alexander Lindsay, 4th Earl of Crawford, and inherited the Earldom of Crawford on his father's death in 1453. During his political career he held the posts of Lord High Admiral of Scotland, Master of the Royal Household, Great Chamberlain and Justiciar.
In 1488 he was created Duke of Montrose, the first Scotsman not of royal blood to be granted a Dukedom. Lindsay had won the favour of James III, by remaining loyal to the king during the rebellion of his son Prince James. Lindsay was deprived of his dukedom by James IV when he acceded to the throne later that year, but it was restored in 1489 for life only. On his death in 1495 the title therefore became extinct, although the Earldom continues to this day.
He married Elizabeth Hamilton, daughter of James Hamilton, 1st Lord Hamilton in 1459. They had three children before divorcing in the 1480s.