Damiana is a distinctive girls' name in United States, ranking #8381 in 2010 with 14 recorded births. The name reached its all-time peak in 2006 with 33 births ranking #4377. Since 1996, the popularity has increased by 27.3%. In 2010, approximately 1 in every 126,952 girls born was named Damiana. RISING Recent data shows the name is currently rising.