Damani is a distinctive girls' name in United States, ranking #12363 in 2001 with 7 recorded births. The name reached its all-time peak in 2012 with 40 births ranking #3865. Since 1996, the popularity has increased by 16.7%. In 2001, approximately 1 in every 257,223 girls born was named Damani. FALLING Recent data shows the name is currently falling.