Damario is a distinctive boys' name in United States, ranking #2335 in 2005 with 50 recorded births. The name reached its all-time peak in 2005 with 50 births ranking #2335. Since 1996, the popularity has increased by 108.3%. In 2005, approximately 1 in every 39,943 boys born was named Damario. FALLING Recent data shows the name is currently falling.