Damaris is a distinctive girls' name in United States, ranking #716 in 2004 with 371 recorded births. The name reached its all-time peak in 2006 with 483 births ranking #603. Since 1996, the popularity has increased by 64.9%. In 2004, approximately 1 in every 4,949 girls born was named Damaris. RISING Recent data shows the name is currently rising.