Troi is a distinctive girls' name in United States, ranking #6531 in 2009 with 21 recorded births. The name reached its all-time peak in 1997 with 40 births ranking #3033. Since 1996, the popularity has decreased by 34.4%. In 2009, approximately 1 in every 87,470 girls born was named Troi. FALLING Recent data shows the name is currently falling.