Enrique is a moderately popular boys' name in United States, ranking #221 in 2000 with 1,537 recorded births. The name reached its all-time peak in 2000 with 1,537 births ranking #221. Since 1996, the popularity has increased by 15.9%. In 2000, approximately 1 in every 1,278 boys born was named Enrique. STABLE Recent data shows the name is currently stable.