Molli is a distinctive girls' name in United States, ranking #2662 in 2003 with 60 recorded births. The name reached its all-time peak in 2014 with 63 births ranking #2769. Since 1996, the popularity has increased by 25.0%. In 2003, approximately 1 in every 30,451 girls born was named Molli. FALLING Recent data shows the name is currently falling.