Berenice is a distinctive girls' name in United States, ranking #770 in 2001 with 308 recorded births. This places Berenice in the top 4% of ranked US girls' names for the year. Its actual usage is classified as Uncommon. The name reached its all-time peak in 2001 with 308 births ranking #770. In 2001, approximately 1 in every 5,846 girls born was named Berenice. FALLING Recent data shows the name is currently falling.