Branson is a distinctive boys' name in United States, ranking #679 in 2013 with 355 recorded births. The name reached its all-time peak in 2014 with 377 births ranking #675. Since 1996, the popularity has increased by 184.0%. In 2013, approximately 1 in every 5,327 boys born was named Branson. FALLING Recent data shows the name is currently falling.