Damani is a distinctive girls' name in United States, ranking #3865 in 2012 with 40 recorded births. This places Damani in the top 20% of ranked US girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 2012 with 40 births ranking #3865. Since 1996, the popularity has increased by 566.7%. In 2012, approximately 1 in every 44,019 girls born was named Damani. FALLING Recent data shows the name is currently falling.