Damiya is a distinctive girls' name in United States, ranking #8508 in 1997 with 10 recorded births. This places Damiya in the bottom 47% of ranked US girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 2010 with 59 births ranking #2913. In 1997, approximately 1 in every 174,066 girls born was named Damiya. FALLING Recent data shows the name is currently falling.