Rani is a distinctive girls' name in United States, ranking #5671 in 2009 with 25 recorded births. The name reached its all-time peak in 2003 with 37 births ranking #3794. Since 1996, the popularity has decreased by 28.6%. In 2009, approximately 1 in every 73,475 girls born was named Rani. RISING Recent data shows the name is currently rising.