Damiana is a distinctive girls' name in United States, ranking #7147 in 2008 with 18 recorded births. The name reached its all-time peak in 2006 with 33 births ranking #4377. Since 1996, the popularity has increased by 63.6%. In 2008, approximately 1 in every 105,040 girls born was named Damiana. RISING Recent data shows the name is currently rising.