Berenice is a distinctive girls' name in United States, ranking #865 in 1997 with 236 recorded births. The name reached its all-time peak in 2001 with 308 births ranking #770. Since 1996, the popularity has decreased by 16.0%. In 1997, approximately 1 in every 7,376 girls born was named Berenice. FALLING Recent data shows the name is currently falling.