Shani is a distinctive girls' name in England & Wales, ranking #803 in 1997 with 28 recorded births. The name reached its all-time peak in 2006 with 54 births ranking #615. Since 1996, the popularity has decreased by 28.2%. In 1997, approximately 1 in every 10,471 girls born was named Shani. FALLING Recent data shows the name is currently falling.