Brice is a distinctive boys' name in United States, ranking #632 in 2005 with 347 recorded births. The name reached its all-time peak in 1999 with 392 births ranking #528. Since 1996, the popularity has increased by 17.2%. In 2005, approximately 1 in every 5,755 boys born was named Brice. FALLING Recent data shows the name is currently falling.