Boyce is a distinctive boys' name in United States, ranking #6511 in 2001 with 10 recorded births. The name reached its all-time peak in 2017 with 18 births ranking #5129. Since 1996, the popularity has decreased by 37.5%. In 2001, approximately 1 in every 194,283 boys born was named Boyce. STABLE Recent data shows the name is currently stable.