Damia is a distinctive girls' name in United States, ranking #3732 in 2014 with 41 recorded births. The name reached its all-time peak in 2005 with 70 births ranking #2483. Since 1996, the popularity has increased by 41.4%. In 2014, approximately 1 in every 43,559 girls born was named Damia. STABLE Recent data shows the name is currently stable.