Berenice is a distinctive girls' name in United States, ranking #2472 in 2014 with 73 recorded births. The name reached its all-time peak in 2001 with 308 births ranking #770. Since 1996, the popularity has decreased by 74.0%. In 2014, approximately 1 in every 24,465 girls born was named Berenice. FALLING Recent data shows the name is currently falling.