Boyce is a distinctive boys' name in United States, ranking #9823 in 2010 with 7 recorded births. The name reached its all-time peak in 2017 with 18 births ranking #5129. Since 1996, the popularity has decreased by 56.3%. In 2010, approximately 1 in every 274,059 boys born was named Boyce. STABLE Recent data shows the name is currently stable.