Damarys is a distinctive girls' name in United States, ranking #8380 in 2010 with 14 recorded births. The name reached its all-time peak in 2004 with 23 births ranking #5412. Since 1996, the popularity has increased by 100.0%. In 2010, approximately 1 in every 126,952 girls born was named Damarys. STABLE Recent data shows the name is currently stable.