Rani is a distinctive girls' name in United States, ranking #4599 in 1998 with 24 recorded births. The name reached its all-time peak in 2003 with 37 births ranking #3794. Since 1996, the popularity has decreased by 31.4%. In 1998, approximately 1 in every 73,620 girls born was named Rani. RISING Recent data shows the name is currently rising.