Damoni is a distinctive boys' name in United States, ranking #4451 in 2004 with 19 recorded births. The name reached its all-time peak in 2012 with 147 births ranking #1212. Since 1996, the popularity has increased by 111.1%. In 2004, approximately 1 in every 104,463 boys born was named Damoni. FALLING Recent data shows the name is currently falling.