Rani is a distinctive girls' name in United States, ranking #5711 in 2004 with 22 recorded births. The name reached its all-time peak in 2003 with 37 births ranking #3794. Since 1996, the popularity has decreased by 37.1%. In 2004, approximately 1 in every 83,460 girls born was named Rani. RISING Recent data shows the name is currently rising.