Damani is a distinctive girls' name in United States, ranking #6978 in 2016 with 17 recorded births. The name reached its all-time peak in 2012 with 40 births ranking #3865. Since 1996, the popularity has increased by 183.3%. In 2016, approximately 1 in every 104,205 girls born was named Damani. FALLING Recent data shows the name is currently falling.