Jai is a distinctive girls' name in United States, ranking #4425 in 2012 with 33 recorded births. The name reached its all-time peak in 1998 with 51 births ranking #2668. Since 1996, the popularity has increased by 37.5%. In 2012, approximately 1 in every 53,356 girls born was named Jai. FALLING Recent data shows the name is currently falling.