Danni is a distinctive girls' name in England & Wales, ranking #574 in 2002 with 50 recorded births. The name reached its all-time peak in 1996 with 98 births ranking #349. Since 1996, the popularity has decreased by 49.0%. In 2002, approximately 1 in every 5,347 girls born was named Danni. FALLING Recent data shows the name is currently falling.