Anni is a distinctive girls' name in United States, ranking #9960 in 2000 with 9 recorded births. The name reached its all-time peak in 2001 with 20 births ranking #5593. Since 1996, the popularity has decreased by 18.2%. In 2000, approximately 1 in every 201,775 girls born was named Anni. RISING Recent data shows the name is currently rising.