Damon is a distinctive boys' name in England & Wales, ranking #805 in 2014 with 38 recorded births. The name reached its all-time peak in 1996 with 136 births ranking #226. Since 1996, the popularity has decreased by 72.1%. In 2014, approximately 1 in every 8,740 boys born was named Damon. STABLE Recent data shows the name is currently stable.