Curran is a distinctive boys' name in United States, ranking #3916 in 2012 with 26 recorded births. The name reached its all-time peak in 2001 with 36 births ranking #2631. Since 1996, the popularity has decreased by 25.7%. In 2012, approximately 1 in every 72,947 boys born was named Curran. FALLING Recent data shows the name is currently falling.