The 32-year-old model has shared the first images from the intimate Scottish ceremony, which took place in June, in Hello! Magazine.
The snaps show Williams looking chic in a simple, traditional Paul Costello gown, complete with a plunging neckline and train.
Her hair was pulled back into a low-bun with sleek natural makeup to tie the look together.
In contrast, Matthews sported a royal blue suit, with a matching waistcoat and broach.
The occasion saw the duo exchange vows in an intimate outdoor ceremony that has been kept under wraps until now.
Speaking to the publication, Matthews said: “It has gone down by many as the best wedding they’ve ever been to.
“It was a family affair in the middle of nowhere and it felt very secluded. We were surrounded by the people we love.
“At the time it was so wonderful but almost dreamlike. It took a little while to sink in, but I certainly feel married, settled, and happy.”
He added: “Everything has fallen into place. As we’ve said before we are best friends, we love being together, so it does feel just perfect.
“We’re delighted. I can’t imagine life without Vogue at this point. People say, what’s changed? What’s different?
“But it’s just part of growing up, meeting your soul mate and moving on with life.”
Williams took to social media to declare the ceremony the “best day of my life.”
The pair are set to welcome their first child in the coming weeks.
To read the full interview pick up the latest copy of HELLO! Magazine- out now