Damoni is a distinctive boys' name in United States, ranking #2856 in 2009 with 42 recorded births. The name reached its all-time peak in 2012 with 147 births ranking #1212. Since 1996, the popularity has increased by 366.7%. In 2009, approximately 1 in every 47,222 boys born was named Damoni. FALLING Recent data shows the name is currently falling.