Damaris is a distinctive girls' name in United States, ranking #812 in 2008 with 354 recorded births. The name reached its all-time peak in 2006 with 483 births ranking #603. Since 1996, the popularity has increased by 57.3%. In 2008, approximately 1 in every 5,341 girls born was named Damaris. RISING Recent data shows the name is currently rising.