Damiana is a distinctive girls' name in United States, ranking #4839 in 2003 with 26 recorded births. The name reached its all-time peak in 2006 with 33 births ranking #4377. Since 1996, the popularity has increased by 136.4%. In 2003, approximately 1 in every 70,271 girls born was named Damiana. RISING Recent data shows the name is currently rising.