Henri is a distinctive boys' name in United States, ranking #1680 in 2004 with 77 recorded births. The name reached its all-time peak in 2021 with 149 births ranking #1276. Since 1996, the popularity has increased by 48.1%. In 2004, approximately 1 in every 25,777 boys born was named Henri. FALLING Recent data shows the name is currently falling.