Varun is a distinctive boys' name in United States, ranking #1219 in 2003 with 121 recorded births. The name reached its all-time peak in 2004 with 145 births ranking #1094. Since 1996, the popularity has increased by 80.6%. In 2003, approximately 1 in every 16,325 boys born was named Varun. FALLING Recent data shows the name is currently falling.