Henri is a distinctive boys' name in United States, ranking #1875 in 2005 with 68 recorded births. The name reached its all-time peak in 2021 with 149 births ranking #1276. Since 1996, the popularity has increased by 30.8%. In 2005, approximately 1 in every 29,370 boys born was named Henri. FALLING Recent data shows the name is currently falling.