Stevenson is a distinctive boys' name in United States, ranking #4872 in 2008 with 20 recorded births. The name reached its all-time peak in 1998 with 21 births ranking #3580. Since 1996, the popularity has increased by 33.3%. In 2008, approximately 1 in every 101,997 boys born was named Stevenson. FALLING Recent data shows the name is currently falling.