Damarys is a distinctive girls' name in United States, ranking #5307 in 2002 with 22 recorded births. The name reached its all-time peak in 2004 with 23 births ranking #5412. Since 1996, the popularity has increased by 214.3%. In 2002, approximately 1 in every 81,674 girls born was named Damarys. STABLE Recent data shows the name is currently stable.