Anniston is a distinctive girls' name in United States, ranking #2984 in 2006 with 57 recorded births. The name reached its all-time peak in 2014 with 302 births ranking #898. Since 1996, the popularity has increased by 714.3%. In 2006, approximately 1 in every 33,352 girls born was named Anniston. FALLING Recent data shows the name is currently falling.