Rani is a distinctive girls' name in United States, ranking #5219 in 2012 with 27 recorded births. The name reached its all-time peak in 2003 with 37 births ranking #3794. Since 1996, the popularity has decreased by 22.9%. In 2012, approximately 1 in every 65,213 girls born was named Rani. RISING Recent data shows the name is currently rising.