Anni is a distinctive girls' name in United States, ranking #7429 in 2004 with 15 recorded births. The name reached its all-time peak in 2001 with 20 births ranking #5593. Since 1996, the popularity has increased by 36.4%. In 2004, approximately 1 in every 122,408 girls born was named Anni. RISING Recent data shows the name is currently rising.