Torri is a distinctive girls' name in United States, ranking #5631 in 2013 with 24 recorded births. The name reached its all-time peak in 1996 with 86 births ranking #1750. Since 1996, the popularity has decreased by 72.1%. In 2013, approximately 1 in every 73,101 girls born was named Torri. FALLING Recent data shows the name is currently falling.