Damariz is a distinctive girls' name in United States, ranking #7420 in 2009 with 17 recorded births. The name reached its all-time peak in 2006 with 28 births ranking #4989. Since 1996, the popularity has increased by 13.3%. In 2009, approximately 1 in every 108,051 girls born was named Damariz. FALLING Recent data shows the name is currently falling.