Damiya is a distinctive girls' name in United States, ranking #6391 in 2001 with 17 recorded births. This places Damiya in the top 36% 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 2001, approximately 1 in every 105,915 girls born was named Damiya. FALLING Recent data shows the name is currently falling.