"I usually do not discuss my personal life but to stop the speculation I want to share my happy news...Jean-Bernard and I married on 7/7/14," the Girls Aloud singer, 31, wrote. "We are very happy and excited to move forward with our lives together."
Via social media, the UK X Factor judge shared a snapshot of her huge engagement ring and diamond-encrusted wedding band.
She and Fernandez-Versini exchanged vows during a hush-hush ceremony on the beach in Mustique last week. Cole and former NYU business student Fernandez-Versini made their debut as a couple at the Cannes Film Festival in May.
It's the second marriage for Cole, who keeps her last name from first husband, British football hunk Ashley Cole, whom she divorced back in 2010.