Brice is a distinctive girls' name in United States, ranking #3744 in 1998 with 31 recorded births. The name reached its all-time peak in 1998 with 31 births ranking #3744. Since 1996, the popularity has increased by 55.0%. In 1998, approximately 1 in every 56,996 girls born was named Brice. FALLING Recent data shows the name is currently falling.