Shani is a distinctive girls' name in England & Wales, ranking #890 in 2002 with 26 recorded births. The name reached its all-time peak in 2006 with 54 births ranking #615. Since 1996, the popularity has decreased by 33.3%. In 2002, approximately 1 in every 10,283 girls born was named Shani. FALLING Recent data shows the name is currently falling.