Damarys is a distinctive girls' name in United States, ranking #7146 in 2008 with 18 recorded births. The name reached its all-time peak in 2004 with 23 births ranking #5412. Since 1996, the popularity has increased by 157.1%. In 2008, approximately 1 in every 105,040 girls born was named Damarys. STABLE Recent data shows the name is currently stable.