Damoni is a distinctive boys' name in United States, ranking #4520 in 2001 with 17 recorded births. The name reached its all-time peak in 2012 with 147 births ranking #1212. Since 1996, the popularity has increased by 88.9%. In 2001, approximately 1 in every 114,284 boys born was named Damoni. FALLING Recent data shows the name is currently falling.