Danni is a moderately popular girls' name in England & Wales, ranking #387 in 1997 with 82 recorded births. The name reached its all-time peak in 1996 with 98 births ranking #349. Since 1996, the popularity has decreased by 16.3%. In 1997, approximately 1 in every 3,575 girls born was named Danni. FALLING Recent data shows the name is currently falling.