Anastazia is a distinctive girls' name in United States, ranking #4989 in 2010 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 2010, approximately 1 in every 63,476 girls born was named Anastazia. RISING Recent data shows the name is currently rising.