Branson is a distinctive boys' name in United States, ranking #912 in 2007 with 217 recorded births. The name reached its all-time peak in 2014 with 377 births ranking #675. Since 1996, the popularity has increased by 73.6%. In 2007, approximately 1 in every 9,563 boys born was named Branson. FALLING Recent data shows the name is currently falling.