Damaris is a distinctive boys' name in United States, ranking #5057 in 2004 with 16 recorded births. The name reached its all-time peak in 1999 with 19 births ranking #3868. Since 1996, the popularity has increased by 33.3%. In 2004, approximately 1 in every 124,050 boys born was named Damaris. FALLING Recent data shows the name is currently falling.