Damia is a distinctive girls' name in United States, ranking #3861 in 2015 with 39 recorded births. The name reached its all-time peak in 2005 with 70 births ranking #2483. Since 1996, the popularity has increased by 34.5%. In 2015, approximately 1 in every 45,760 girls born was named Damia. STABLE Recent data shows the name is currently stable.