Damiya is a distinctive girls' name in United States, ranking #4417 in 2004 with 31 recorded births. This places Damiya in the top 23% 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 2004, approximately 1 in every 59,230 girls born was named Damiya. FALLING Recent data shows the name is currently falling.