Danni is a distinctive girls' name in England & Wales, ranking #696 in 2001 with 36 recorded births. The name reached its all-time peak in 1996 with 98 births ranking #349. Since 1996, the popularity has decreased by 63.3%. In 2001, approximately 1 in every 7,444 girls born was named Danni. FALLING Recent data shows the name is currently falling.