Anniston is a distinctive girls' name in United States, ranking #898 in 2014 with 302 recorded births. The name reached its all-time peak in 2014 with 302 births ranking #898. Since 1996, the popularity has increased by 4,214.3%. In 2014, approximately 1 in every 5,914 girls born was named Anniston. FALLING Recent data shows the name is currently falling.