Henrry is a distinctive boys' name in United States, ranking #3904 in 1998 with 18 recorded births. The name reached its all-time peak in 2007 with 48 births ranking #2577. Since 1996, the popularity has increased by 12.5%. In 1998, approximately 1 in every 106,184 boys born was named Henrry. STABLE Recent data shows the name is currently stable.