Tarren is a distinctive girls' name in United States, ranking #10360 in 2003 with 10 recorded births. The name reached its all-time peak in 1996 with 15 births ranking #6360. Since 1996, the popularity has decreased by 33.3%. In 2003, approximately 1 in every 182,705 girls born was named Tarren. FALLING Recent data shows the name is currently falling.