Damariz is a distinctive girls' name in United States, ranking #6715 in 2010 with 19 recorded births. The name reached its all-time peak in 2006 with 28 births ranking #4989. Since 1996, the popularity has increased by 26.7%. In 2010, approximately 1 in every 93,544 girls born was named Damariz. FALLING Recent data shows the name is currently falling.