Darien is a distinctive girls' name in United States, ranking #6036 in 2004 with 20 recorded births. The name reached its all-time peak in 1996 with 128 births ranking #1333. Since 1996, the popularity has decreased by 84.4%. In 2004, approximately 1 in every 91,806 girls born was named Darien. STABLE Recent data shows the name is currently stable.