Branson is a distinctive boys' name in United States, ranking #691 in 2012 with 343 recorded births. The name reached its all-time peak in 2014 with 377 births ranking #675. Since 1996, the popularity has increased by 174.4%. In 2012, approximately 1 in every 5,530 boys born was named Branson. FALLING Recent data shows the name is currently falling.