Damiya is a distinctive girls' name in United States, ranking #6781 in 2002 with 16 recorded births. This places Damiya in the top 37% 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 2002, approximately 1 in every 112,301 girls born was named Damiya. FALLING Recent data shows the name is currently falling.