Varun is a distinctive boys' name in United States, ranking #1094 in 2004 with 145 recorded births. The name reached its all-time peak in 2004 with 145 births ranking #1094. Since 1996, the popularity has increased by 116.4%. In 2004, approximately 1 in every 13,688 boys born was named Varun. FALLING Recent data shows the name is currently falling.