Stevenson is a distinctive boys' name in United States, ranking #6587 in 2012 with 13 recorded births. The name reached its all-time peak in 1998 with 21 births ranking #3580. Since 1996, the popularity has decreased by 13.3%. In 2012, approximately 1 in every 145,894 boys born was named Stevenson. FALLING Recent data shows the name is currently falling.