Damani is a distinctive girls' name in United States, ranking #4166 in 2011 with 35 recorded births. The name reached its all-time peak in 2012 with 40 births ranking #3865. Since 1996, the popularity has increased by 483.3%. In 2011, approximately 1 in every 50,252 girls born was named Damani. FALLING Recent data shows the name is currently falling.