Branson is a distinctive boys' name in United States, ranking #873 in 2006 with 227 recorded births. The name reached its all-time peak in 2014 with 377 births ranking #675. Since 1996, the popularity has increased by 81.6%. In 2006, approximately 1 in every 9,053 boys born was named Branson. FALLING Recent data shows the name is currently falling.