Anastazia is a distinctive girls' name in United States, ranking #4035 in 1998 with 28 recorded births. The name reached its all-time peak in 2004 with 46 births ranking #3267. Since 1996, the popularity has increased by 16.7%. In 1998, approximately 1 in every 63,103 girls born was named Anastazia. RISING Recent data shows the name is currently rising.