Branson is a distinctive boys' name in United States, ranking #812 in 2009 with 273 recorded births. The name reached its all-time peak in 2014 with 377 births ranking #675. Since 1996, the popularity has increased by 118.4%. In 2009, approximately 1 in every 7,265 boys born was named Branson. FALLING Recent data shows the name is currently falling.