Henrry is a distinctive boys' name in United States, ranking #3957 in 2009 with 26 recorded births. The name reached its all-time peak in 2007 with 48 births ranking #2577. Since 1996, the popularity has increased by 62.5%. In 2009, approximately 1 in every 76,281 boys born was named Henrry. STABLE Recent data shows the name is currently stable.