Damiana is a distinctive girls' name in United States, ranking #13412 in 2014 with 7 recorded births. The name reached its all-time peak in 2006 with 33 births ranking #4377. Since 1996, the popularity has decreased by 36.4%. In 2014, approximately 1 in every 255,134 girls born was named Damiana. RISING Recent data shows the name is currently rising.