Infinity is a distinctive girls' name in United States, ranking #4855 in 2003 with 26 recorded births. The name reached its all-time peak in 1997 with 71 births ranking #2008. Since 1996, the popularity has decreased by 43.5%. In 2003, approximately 1 in every 70,271 girls born was named Infinity. FALLING Recent data shows the name is currently falling.