Bronson is a distinctive boys' name in United States, ranking #667 in 2015 with 385 recorded births. The name reached its all-time peak in 2015 with 385 births ranking #667. Since 1996, the popularity has increased by 133.3%. In 2015, approximately 1 in every 4,977 boys born was named Bronson. STABLE Recent data shows the name is currently stable.