Damia is a distinctive girls' name in United States, ranking #2763 in 2006 with 64 recorded births. The name reached its all-time peak in 2005 with 70 births ranking #2483. Since 1996, the popularity has increased by 120.7%. In 2006, approximately 1 in every 29,704 girls born was named Damia. STABLE Recent data shows the name is currently stable.