Anastasha is a distinctive girls' name in United States, ranking #10878 in 2008 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 2008, approximately 1 in every 189,072 girls born was named Anastasha. RISING Recent data shows the name is currently rising.