Berenice is a distinctive girls' name in United States, ranking #1843 in 2011 with 109 recorded births. The name reached its all-time peak in 2001 with 308 births ranking #770. Since 1996, the popularity has decreased by 61.2%. In 2011, approximately 1 in every 16,136 girls born was named Berenice. FALLING Recent data shows the name is currently falling.