Former Coronation Street actor Adam told fans it was the "happiest day" of his life before tying the knot with Katy on Saturday 20 December.
Straight after getting hitched, 5th Story member Adam tweeted: "I am complete".
Katy has already changed her surname from Fawcett to Rickitt, telling fans that she now has a "new shiny name".
Previously, Katy had revealed details about her wedding dress after being quizzed by her GMB co-presenters, during which she revealed: "It's going to be 1920s style lace gown and it will have a high neck."
Happiest day of my life @KatyFawITV ...can't wait to see you— Adam Rickitt (@adamrickitt) December 20, 2014
Posting a message on Twitter this morning, he said: "At airport with my wife @KatyRickitt ...countdown to honeymoon!"
The newlyweds will be soaking up the sunshine on a Christmas honeymoon in Thailand - sounds bliss!
Adam, who found fame in Corrie during the 90s before launching a pop career, got engaged to Katy in August 2012.
Celebrities who have married in 2014:
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