Stevenson is a distinctive boys' name in United States, ranking #3580 in 1998 with 21 recorded births. The name reached its all-time peak in 1998 with 21 births ranking #3580. Since 1996, the popularity has increased by 40.0%. In 1998, approximately 1 in every 91,015 boys born was named Stevenson. FALLING Recent data shows the name is currently falling.