Branson is a distinctive boys' name in United States, ranking #732 in 2011 with 310 recorded births. The name reached its all-time peak in 2014 with 377 births ranking #675. Since 1996, the popularity has increased by 148.0%. In 2011, approximately 1 in every 6,126 boys born was named Branson. FALLING Recent data shows the name is currently falling.