Damiya is a distinctive girls' name in United States, ranking #3327 in 2012 with 49 recorded births. This places Damiya in the top 17% 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 2012, approximately 1 in every 35,934 girls born was named Damiya. FALLING Recent data shows the name is currently falling.