Infinity is a distinctive girls' name in United States, ranking #8299 in 2013 with 14 recorded births. The name reached its all-time peak in 1997 with 71 births ranking #2008. Since 1996, the popularity has decreased by 69.6%. In 2013, approximately 1 in every 125,315 girls born was named Infinity. FALLING Recent data shows the name is currently falling.