Berenice is a distinctive girls' name in United States, ranking #1020 in 2004 with 231 recorded births. The name reached its all-time peak in 2001 with 308 births ranking #770. Since 1996, the popularity has decreased by 17.8%. In 2004, approximately 1 in every 7,949 girls born was named Berenice. FALLING Recent data shows the name is currently falling.