Branson is a distinctive boys' name in United States, ranking #694 in 2015 with 363 recorded births. The name reached its all-time peak in 2014 with 377 births ranking #675. Since 1996, the popularity has increased by 190.4%. In 2015, approximately 1 in every 5,279 boys born was named Branson. FALLING Recent data shows the name is currently falling.