Infinity is a distinctive girls' name in United States, ranking #8277 in 2008 with 15 recorded births. The name reached its all-time peak in 1997 with 71 births ranking #2008. Since 1996, the popularity has decreased by 67.4%. In 2008, approximately 1 in every 126,048 girls born was named Infinity. FALLING Recent data shows the name is currently falling.