Brice is a distinctive boys' name in United States, ranking #708 in 2008 with 329 recorded births. The name reached its all-time peak in 1999 with 392 births ranking #528. Since 1996, the popularity has increased by 11.1%. In 2008, approximately 1 in every 6,200 boys born was named Brice. FALLING Recent data shows the name is currently falling.