Brice is a distinctive boys' name in United States, ranking #614 in 2003 with 339 recorded births. The name reached its all-time peak in 1999 with 392 births ranking #528. Since 1996, the popularity has increased by 14.5%. In 2003, approximately 1 in every 5,827 boys born was named Brice. FALLING Recent data shows the name is currently falling.