Anjali is a distinctive girls' name in United States, ranking #970 in 2001 with 222 recorded births. The name reached its all-time peak in 2005 with 255 births ranking #965. Since 1996, the popularity has increased by 133.7%. In 2001, approximately 1 in every 8,111 girls born was named Anjali. FALLING Recent data shows the name is currently falling.