Cory is a distinctive boys' name in England & Wales, ranking #509 in 2014 with 76 recorded births. The name reached its all-time peak in 1996 with 252 births ranking #140. Since 1996, the popularity has decreased by 69.8%. In 2014, approximately 1 in every 4,370 boys born was named Cory. RISING Recent data shows the name is currently rising.