Henri is a distinctive boys' name in United States, ranking #1877 in 2001 with 59 recorded births. The name reached its all-time peak in 2021 with 149 births ranking #1276. Since 1996, the popularity has increased by 13.5%. In 2001, approximately 1 in every 32,929 boys born was named Henri. FALLING Recent data shows the name is currently falling.