Damia is a distinctive girls' name in United States, ranking #3597 in 2008 with 45 recorded births. The name reached its all-time peak in 2005 with 70 births ranking #2483. Since 1996, the popularity has increased by 55.2%. In 2008, approximately 1 in every 42,016 girls born was named Damia. STABLE Recent data shows the name is currently stable.