Damain is a distinctive boys' name in United States, ranking #9860 in 2014 with 7 recorded births. This places Damain in the bottom 30% of ranked US boys' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 1997 with 15 births ranking #4284. In 2014, approximately 1 in every 274,348 boys born was named Damain. FALLING Recent data shows the name is currently falling.