Enrique is a moderately popular boys' name in United States, ranking #416 in 2014 with 748 recorded births. The name reached its all-time peak in 2000 with 1,537 births ranking #221. Since 1996, the popularity has decreased by 43.6%. In 2014, approximately 1 in every 2,567 boys born was named Enrique. STABLE Recent data shows the name is currently stable.