Danni is a distinctive girls' name in England & Wales, ranking #667 in 2004 with 44 recorded births. The name reached its all-time peak in 1996 with 98 births ranking #349. Since 1996, the popularity has decreased by 55.1%. In 2004, approximately 1 in every 6,497 girls born was named Danni. FALLING Recent data shows the name is currently falling.