Damaris is a distinctive boys' name in United States, ranking #4091 in 2000 with 19 recorded births. The name reached its all-time peak in 1999 with 19 births ranking #3868. Since 1996, the popularity has increased by 58.3%. In 2000, approximately 1 in every 103,365 boys born was named Damaris. FALLING Recent data shows the name is currently falling.