Damaris is a distinctive girls' name in United States, ranking #840 in 2003 with 291 recorded births. The name reached its all-time peak in 2006 with 483 births ranking #603. Since 1996, the popularity has increased by 29.3%. In 2003, approximately 1 in every 6,279 girls born was named Damaris. RISING Recent data shows the name is currently rising.