Varun is a distinctive boys' name in United States, ranking #1326 in 2001 with 99 recorded births. The name reached its all-time peak in 2004 with 145 births ranking #1094. Since 1996, the popularity has increased by 47.8%. In 2001, approximately 1 in every 19,625 boys born was named Varun. FALLING Recent data shows the name is currently falling.