Damon is a Greek name that means "to tame" or "subdue", from daman; in the legend of Damon and Pythias, Damon offers his own life as a pledge for his friend, making the name a symbol of loyalty. The actor Matt Damon has given it a familiar ring for today's parents. Damon has been in the US top 1000 since 2000, peaked at number 288 in 2001 and has held steady in the 400s for years, ranking number 501 in 2025.