Leoni is a moderately popular girls' name in England & Wales, ranking #475 in 2001 with 64 recorded births. The name reached its all-time peak in 2004 with 95 births ranking #394. Since 1996, the popularity has increased by 120.7%. In 2001, approximately 1 in every 4,187 girls born was named Leoni. RISING Recent data shows the name is currently rising.