Damani is a distinctive girls' name in United States, ranking #5127 in 2002 with 23 recorded births. The name reached its all-time peak in 2012 with 40 births ranking #3865. Since 1996, the popularity has increased by 283.3%. In 2002, approximately 1 in every 78,123 girls born was named Damani. FALLING Recent data shows the name is currently falling.