The pictures, released on Saturday, show Beatrice and Mr Mapelli Mozzi leaving the church after the service, and the couple with the Queen and Duke of Edinburgh.
They were married in a small family ceremony on Friday at the Royal Chapel of All Saints at Royal Lodge, Windsor, Buckingham Palace said.
Photos show Beatrice in a vintage Peau De Soie taffeta dress in shades of ivory by Norman Hartnell, on loan from the Queen, trimmed with Duchess satin and encrusted with diamante.
Beatrice wore the Queen Mary diamond fringe tiara, also on loan from the Queen and which was worn by the monarch on her wedding day.
Beatrice’s ring was designed by Shaun Leane and Mr Mapelli Mozzi’s ring was a vintage gold band designed by Josh Collins.
She carried a bouquet of trailing jasmine, pale pink and cream sweet peas, royal porcelain ivory spray roses, pink O’Hara garden roses, pink wax flower, baby pink astilbe and, in keeping with royal tradition, sprigs of myrtle.
It was made by Patrice Van Helden and has been placed on the tomb of the Unknown Warrior in Westminster Abbey.
She was walked down the aisle by her father, the Duke of York, Buckingham Palace said.
Mr Mapelli Mozzi’s son Wolfie was best man and pageboy.
Princess Beatrice's wedding bouquet, like those of other Royal brides, is traditionally placed on the Tomb of the Unknown Warrior in Westminster Abbey:
The Queen described the private family occasion, attended by the Duke of Edinburgh, the couple’s parents and their siblings, as “very nice”.
“Working within government guidelines, the service was in keeping with the unique circumstances while enabling them to celebrate their wedding with their closest family.”
Beatrice and Mr Mapelli Mozzi had planned to tie the knot on May 29 in the Chapel Royal at St James’s Palace but the ceremony was postponed due to the Covid-19 outbreak.
Mr Mapelli Mozzi, a millionaire property tycoon, known as Edo, and Beatrice began dating in autumn 2018, and were soon being tipped to walk up the aisle.
The princess, who split from her long-term love Dave Clark in 2016 after 10 years together, got engaged during a weekend trip to Italy following a whirlwind romance.
Their families have known one another for many years and the couple are said to have started a relationship after meeting again at Beatrice’s sister Princess Eugenie’s wedding.
The ceremony is believed to be the first time the Queen and Philip have attended a family gathering since the lockdown. Eugenie and husband Jack Brooksbank are also thought to have been among the guests.
Beatrice, who is ninth in line to the throne, is not a full-time working royal but works for Afiniti, an artificial intelligence software firm, where she is vice president of partnerships and strategy.
Mr Mapelli Mozzi is the son of former Olympic skier Count Alessandro Mapelli Mozzi and Nikki Williams-Ellis, and is a count himself.