Damaree is a distinctive boys' name in United States, ranking #8006 in 2003 with 8 recorded births. This places Damaree in the bottom 37% of ranked US boys' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 2005 with 14 births ranking #5632. In 2003, approximately 1 in every 246,909 boys born was named Damaree. FALLING Recent data shows the name is currently falling.