Anni is a distinctive girls' name in United States, ranking #7339 in 2014 with 16 recorded births. The name reached its all-time peak in 2001 with 20 births ranking #5593. Since 1996, the popularity has increased by 45.5%. In 2014, approximately 1 in every 111,621 girls born was named Anni. RISING Recent data shows the name is currently rising.