Damani is a distinctive girls' name in United States, ranking #4089 in 2006 with 36 recorded births. The name reached its all-time peak in 2012 with 40 births ranking #3865. Since 1996, the popularity has increased by 500.0%. In 2006, approximately 1 in every 52,808 girls born was named Damani. FALLING Recent data shows the name is currently falling.