It has been reported that 20 guests attended the private service, including her father Prince Andrew.
Beatrice and Edoardo were originally meant to tie the knot on 29 May 2020 but had to postpone their nuptials amid the coronavirus pandemic.
Buckingham Palace has released two photos from Princess Beatrice's wedding to Edoardo Mapelli Mozzi.
Beatrice and Edoardo's decision to cancel their wedding was announced in April of this year.
Mr Mapelli Mozzi - acknowledged as Edo - and Beatrice started dating in autumn 2018.
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The princess is ninth-in-line to the throne and works for an artificial intelligence software firm.
The chapel was the location for the wedding of Beatrice's great-great-great-great grandmother Queen Victoria to Prince Albert in 1840.
"They had to create the marriage Covid-secure and secure for your Queen so the better method compared to the All Saints Row with reception on the site in the Royal Lodge".
Martyn Crossley has supplied flowers to the Royal Family for many years and even created a wreath for the Queen to place on her mother's grave. "Both Philip and I managed to get there - very nice", she told Captain Tom Moore after making him a "sir" in recognition of his efforts.
Princess Beatrice and Edoardo "Edo" Mapelli Mozzi are officially husband and wife!
Mozzi is the son of Count Alessandro Mapelli-Mozzi, a former British Olympic skier. It is believed that the royal couple stepped out for the first time since March to attend a family gathering.