Anastasha is a distinctive girls' name in United States, ranking #10882 in 2007 with 10 recorded births. The name reached its all-time peak in 2004 with 12 births ranking #8764. Since 1996, the popularity has increased by 100.0%. In 2007, approximately 1 in every 192,245 girls born was named Anastasha. RISING Recent data shows the name is currently rising.