Henri is a distinctive boys' name in United States, ranking #1836 in 2002 with 62 recorded births. The name reached its all-time peak in 2021 with 149 births ranking #1276. Since 1996, the popularity has increased by 19.2%. In 2002, approximately 1 in every 31,314 boys born was named Henri. FALLING Recent data shows the name is currently falling.