Darien is a distinctive girls' name in United States, ranking #13520 in 2013 with 7 recorded births. The name reached its all-time peak in 1996 with 128 births ranking #1333. Since 1996, the popularity has decreased by 94.5%. In 2013, approximately 1 in every 250,630 girls born was named Darien. STABLE Recent data shows the name is currently stable.