Branson is a distinctive boys' name in United States, ranking #854 in 2010 with 248 recorded births. The name reached its all-time peak in 2014 with 377 births ranking #675. Since 1996, the popularity has increased by 98.4%. In 2010, approximately 1 in every 7,736 boys born was named Branson. FALLING Recent data shows the name is currently falling.