Henrry is a distinctive boys' name in United States, ranking #3828 in 2000 with 21 recorded births. The name reached its all-time peak in 2007 with 48 births ranking #2577. Since 1996, the popularity has increased by 31.3%. In 2000, approximately 1 in every 93,521 boys born was named Henrry. STABLE Recent data shows the name is currently stable.