Leoni is a moderately popular girls' name in England & Wales, ranking #405 in 2003 with 89 recorded births. The name reached its all-time peak in 2004 with 95 births ranking #394. Since 1996, the popularity has increased by 206.9%. In 2003, approximately 1 in every 3,131 girls born was named Leoni. RISING Recent data shows the name is currently rising.