Damaris is a distinctive boys' name in United States, ranking #9928 in 2012 with 7 recorded births. The name reached its all-time peak in 1999 with 19 births ranking #3868. Since 1996, the popularity has decreased by 41.7%. In 2012, approximately 1 in every 270,946 boys born was named Damaris. FALLING Recent data shows the name is currently falling.