Damiana is a distinctive girls' name in United States, ranking #5052 in 2001 with 23 recorded births. The name reached its all-time peak in 2006 with 33 births ranking #4377. Since 1996, the popularity has increased by 109.1%. In 2001, approximately 1 in every 78,285 girls born was named Damiana. RISING Recent data shows the name is currently rising.