Stevenson is a distinctive boys' name in United States, ranking #10579 in 2013 with 7 recorded births. The name reached its all-time peak in 1998 with 21 births ranking #3580. Since 1996, the popularity has decreased by 53.3%. In 2013, approximately 1 in every 270,179 boys born was named Stevenson. FALLING Recent data shows the name is currently falling.