Rani is a distinctive girls' name in United States, ranking #6337 in 2010 with 21 recorded births. The name reached its all-time peak in 2003 with 37 births ranking #3794. Since 1996, the popularity has decreased by 40.0%. In 2010, approximately 1 in every 84,635 girls born was named Rani. RISING Recent data shows the name is currently rising.