Branson is a distinctive boys' name in United States, ranking #770 in 2018 with 302 recorded births. The name reached its all-time peak in 2014 with 377 births ranking #675. Since 1996, the popularity has increased by 141.6%. In 2018, approximately 1 in every 6,012 boys born was named Branson. FALLING Recent data shows the name is currently falling.