Damia is a distinctive girls' name in United States, ranking #3371 in 2003 with 43 recorded births. The name reached its all-time peak in 2005 with 70 births ranking #2483. Since 1996, the popularity has increased by 48.3%. In 2003, approximately 1 in every 42,490 girls born was named Damia. STABLE Recent data shows the name is currently stable.