Damario is a distinctive boys' name in United States, ranking #3299 in 2003 with 28 recorded births. The name reached its all-time peak in 2005 with 50 births ranking #2335. Since 1996, the popularity has increased by 16.7%. In 2003, approximately 1 in every 70,545 boys born was named Damario. FALLING Recent data shows the name is currently falling.