Branson is a distinctive boys' name in United States, ranking #723 in 2017 with 332 recorded births. The name reached its all-time peak in 2014 with 377 births ranking #675. Since 1996, the popularity has increased by 165.6%. In 2017, approximately 1 in every 5,573 boys born was named Branson. FALLING Recent data shows the name is currently falling.