Damarius is a distinctive boys' name in United States, ranking #2035 in 2003 with 56 recorded births. The name reached its all-time peak in 2006 with 83 births ranking #1702. Since 1996, the popularity has increased by 55.6%. In 2003, approximately 1 in every 35,273 boys born was named Damarius. FALLING Recent data shows the name is currently falling.