Damarius is a distinctive boys' name in United States, ranking #1702 in 2006 with 83 recorded births. The name reached its all-time peak in 2006 with 83 births ranking #1702. Since 1996, the popularity has increased by 130.6%. In 2006, approximately 1 in every 24,760 boys born was named Damarius. FALLING Recent data shows the name is currently falling.