Berenice is a distinctive girls' name in United States, ranking #1030 in 2005 with 235 recorded births. The name reached its all-time peak in 2001 with 308 births ranking #770. Since 1996, the popularity has decreased by 16.4%. In 2005, approximately 1 in every 7,863 girls born was named Berenice. FALLING Recent data shows the name is currently falling.