Damiana is a distinctive girls' name in United States, ranking #5840 in 2016 with 22 recorded births. The name reached its all-time peak in 2006 with 33 births ranking #4377. Since 1996, the popularity has increased by 100.0%. In 2016, approximately 1 in every 80,522 girls born was named Damiana. RISING Recent data shows the name is currently rising.