Henri is a distinctive boys' name in United States, ranking #1600 in 2014 with 98 recorded births. The name reached its all-time peak in 2021 with 149 births ranking #1276. Since 1996, the popularity has increased by 88.5%. In 2014, approximately 1 in every 19,596 boys born was named Henri. FALLING Recent data shows the name is currently falling.