Anastazia is a distinctive girls' name in United States, ranking #4221 in 2001 with 29 recorded births. The name reached its all-time peak in 2004 with 46 births ranking #3267. Since 1996, the popularity has increased by 20.8%. In 2001, approximately 1 in every 62,088 girls born was named Anastazia. RISING Recent data shows the name is currently rising.