Damarys is a distinctive girls' name in United States, ranking #9080 in 2015 with 12 recorded births. The name reached its all-time peak in 2004 with 23 births ranking #5412. Since 1996, the popularity has increased by 71.4%. In 2015, approximately 1 in every 148,721 girls born was named Damarys. STABLE Recent data shows the name is currently stable.