Damarys is a distinctive girls' name in United States, ranking #5862 in 2005 with 21 recorded births. The name reached its all-time peak in 2004 with 23 births ranking #5412. Since 1996, the popularity has increased by 200.0%. In 2005, approximately 1 in every 87,986 girls born was named Damarys. STABLE Recent data shows the name is currently stable.