Nastassia is a distinctive girls' name in United States, ranking #4898 in 1998 with 22 recorded births. The name reached its all-time peak in 1998 with 22 births ranking #4898. Since 1996, the popularity has increased by 69.2%. In 1998, approximately 1 in every 80,313 girls born was named Nastassia. FALLING Recent data shows the name is currently falling.