Damiana is a distinctive girls' name in United States, ranking #5800 in 2004 with 21 recorded births. The name reached its all-time peak in 2006 with 33 births ranking #4377. Since 1996, the popularity has increased by 90.9%. In 2004, approximately 1 in every 87,434 girls born was named Damiana. RISING Recent data shows the name is currently rising.