Boyce is a distinctive boys' name in United States, ranking #8381 in 2009 with 9 recorded births. The name reached its all-time peak in 2017 with 18 births ranking #5129. Since 1996, the popularity has decreased by 43.8%. In 2009, approximately 1 in every 220,367 boys born was named Boyce. STABLE Recent data shows the name is currently stable.