Nastasha is a distinctive girls' name in United States, ranking #15505 in 2004 with 6 recorded births. The name reached its all-time peak in 2011 with 13 births ranking #9009. Since 1996, the popularity has decreased by 45.5%. In 2004, approximately 1 in every 306,020 girls born was named Nastasha. FALLING Recent data shows the name is currently falling.