Leoni is a moderately popular girls' name in England & Wales, ranking #469 in 2002 with 66 recorded births. The name reached its all-time peak in 2004 with 95 births ranking #394. Since 1996, the popularity has increased by 127.6%. In 2002, approximately 1 in every 4,051 girls born was named Leoni. RISING Recent data shows the name is currently rising.