Anastazia is a distinctive girls' name in United States, ranking #3738 in 2003 with 37 recorded births. The name reached its all-time peak in 2004 with 46 births ranking #3267. Since 1996, the popularity has increased by 54.2%. In 2003, approximately 1 in every 49,380 girls born was named Anastazia. RISING Recent data shows the name is currently rising.