Henri is a distinctive boys' name in United States, ranking #1816 in 2008 with 81 recorded births. The name reached its all-time peak in 2021 with 149 births ranking #1276. Since 1996, the popularity has increased by 55.8%. In 2008, approximately 1 in every 25,185 boys born was named Henri. FALLING Recent data shows the name is currently falling.