Damoni is a distinctive girls' name in United States, ranking #5130 in 2009 with 28 recorded births. This places Damoni in the top 25% of ranked US girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 2013 with 30 births ranking #4676. In 2009, approximately 1 in every 65,603 girls born was named Damoni. FALLING Recent data shows the name is currently falling.