Damia is a distinctive girls' name in United States, ranking #3886 in 2009 with 40 recorded births. The name reached its all-time peak in 2005 with 70 births ranking #2483. Since 1996, the popularity has increased by 37.9%. In 2009, approximately 1 in every 45,922 girls born was named Damia. STABLE Recent data shows the name is currently stable.