Connery is a distinctive boys' name in United States, ranking #4948 in 2002 with 15 recorded births. The name reached its all-time peak in 2002 with 15 births ranking #4948. Since 1996, the popularity has increased by 114.3%. In 2002, approximately 1 in every 129,431 boys born was named Connery. FALLING Recent data shows the name is currently falling.