Infinity is a distinctive girls' name in United States, ranking #3072 in 2020 with 52 recorded births. The name reached its all-time peak in 1997 with 71 births ranking #2008. Since 1996, the popularity has increased by 13.0%. In 2020, approximately 1 in every 31,068 girls born was named Infinity. FALLING Recent data shows the name is currently falling.