Danni is a moderately popular girls' name in England & Wales, ranking #349 in 1996 with 98 recorded births. This places Danni in the top 7% of ranked UK girls' names for the year. Its actual usage is classified as Moderately Popular. The name reached its all-time peak in 1996 with 98 births ranking #349. In 1996, approximately 1 in every 3,020 girls born was named Danni. FALLING Recent data shows the name is currently falling.