Damon is a distinctive boys' name in England & Wales, ranking #640 in 2012 with 54 recorded births. The name reached its all-time peak in 1996 with 136 births ranking #226. Since 1996, the popularity has decreased by 60.3%. In 2012, approximately 1 in every 6,452 boys born was named Damon. STABLE Recent data shows the name is currently stable.