Brice is a distinctive boys' name in United States, ranking #605 in 2002 with 333 recorded births. The name reached its all-time peak in 1999 with 392 births ranking #528. Since 1996, the popularity has increased by 12.5%. In 2002, approximately 1 in every 5,830 boys born was named Brice. FALLING Recent data shows the name is currently falling.