Damiana is a distinctive girls' name in United States, ranking #4377 in 2006 with 33 recorded births. The name reached its all-time peak in 2006 with 33 births ranking #4377. Since 1996, the popularity has increased by 200.0%. In 2006, approximately 1 in every 57,608 girls born was named Damiana. RISING Recent data shows the name is currently rising.