Anastazia is a distinctive girls' name in United States, ranking #4497 in 2015 with 31 recorded births. The name reached its all-time peak in 2004 with 46 births ranking #3267. Since 1996, the popularity has increased by 29.2%. In 2015, approximately 1 in every 57,569 girls born was named Anastazia. RISING Recent data shows the name is currently rising.