Nastasha is a distinctive girls' name in United States, ranking #9009 in 2011 with 13 recorded births. The name reached its all-time peak in 2011 with 13 births ranking #9009. Since 1996, the popularity has increased by 18.2%. In 2011, approximately 1 in every 135,293 girls born was named Nastasha. FALLING Recent data shows the name is currently falling.