Garrison is a distinctive boys' name in United States, ranking #566 in 1999 with 353 recorded births. The name reached its all-time peak in 1999 with 353 births ranking #566. Since 1996, the popularity has increased by 77.4%. In 1999, approximately 1 in every 5,439 boys born was named Garrison. FALLING Recent data shows the name is currently falling.