Anastazia is a distinctive girls' name in United States, ranking #3982 in 2002 with 32 recorded births. The name reached its all-time peak in 2004 with 46 births ranking #3267. Since 1996, the popularity has increased by 33.3%. In 2002, approximately 1 in every 56,151 girls born was named Anastazia. RISING Recent data shows the name is currently rising.