Berenice is a distinctive girls' name in United States, ranking #1015 in 2006 with 252 recorded births. The name reached its all-time peak in 2001 with 308 births ranking #770. Since 1996, the popularity has decreased by 10.3%. In 2006, approximately 1 in every 7,544 girls born was named Berenice. FALLING Recent data shows the name is currently falling.