The Amex Centurion Black Card, or more formally, the Centurion Card from American Express, is by invitation only. There is no application page (though you can request an invite). Because there are no public application pages, we don't consider it to be one of the best Amex cards. This card comes with a $10,000 initiation fee and an annual fee of $5,000. There appear to be no predetermined qualifications for this card, but it's generally believed that customers must spend several hundred thousand dollars per year on their credit card before Amex sends an invite.