Anni is a distinctive girls' name in United States, ranking #6581 in 2009 with 20 recorded births. The name reached its all-time peak in 2001 with 20 births ranking #5593. Since 1996, the popularity has increased by 81.8%. In 2009, approximately 1 in every 91,844 girls born was named Anni. RISING Recent data shows the name is currently rising.