Stevenson is a distinctive boys' name in United States, ranking #4257 in 2003 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 2003, approximately 1 in every 98,763 boys born was named Stevenson. FALLING Recent data shows the name is currently falling.