Boyce is a distinctive boys' name in United States, ranking #5134 in 2018 with 18 recorded births. The name reached its all-time peak in 2017 with 18 births ranking #5129. Since 1996, the popularity has increased by 12.5%. In 2018, approximately 1 in every 100,860 boys born was named Boyce. STABLE Recent data shows the name is currently stable.