Infinity is a distinctive girls' name in United States, ranking #6641 in 2005 with 18 recorded births. The name reached its all-time peak in 1997 with 71 births ranking #2008. Since 1996, the popularity has decreased by 60.9%. In 2005, approximately 1 in every 102,650 girls born was named Infinity. FALLING Recent data shows the name is currently falling.