Damarys is a distinctive girls' name in United States, ranking #12265 in 2013 with 8 recorded births. The name reached its all-time peak in 2004 with 23 births ranking #5412. Since 1996, the popularity has increased by 14.3%. In 2013, approximately 1 in every 219,302 girls born was named Damarys. STABLE Recent data shows the name is currently stable.