Nastasha is a distinctive girls' name in United States, ranking #13908 in 1999 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 1999, approximately 1 in every 295,630 girls born was named Nastasha. FALLING Recent data shows the name is currently falling.