Damiana is a distinctive girls' name in United States, ranking #5753 in 2007 with 24 recorded births. The name reached its all-time peak in 2006 with 33 births ranking #4377. Since 1996, the popularity has increased by 118.2%. In 2007, approximately 1 in every 80,102 girls born was named Damiana. RISING Recent data shows the name is currently rising.