"Taylor & Travis did not have bridesmaids or groomsmen. Instead, her brother Austin Swift served as Taylor's Man of Honour and Jason Kelce was Travis' Best Man," the spokesperson said.
"The ceremony joined both families together and was officiated by friend Adam Sandler."
Earlier, celebrity guests were seen arriving at New York's Madison Square Garden, which has been the epicentre of extensive and lavish preparations over the last few days.
Black SUVs pulled up to white tents stationed outside the venue, whilst Bridget Jones actor Hugh Grant was pictured wearing a black suit with a bow tie walking towards the arena.
Ted Lasso star Jason Sudeikis and actor Ethan Hawke were also seen in suits and heading towards the venue.
Crowds of fans and members of the media have gathered outside, hoping to catch a glimpse of stars entering the glittering event as uniformed police officers stood by and police vehicles drove past.
Photos from inside the arena show decor made up of peach coloured roses, while exterior aerial shots show the venue was lit up with pink lights.
Rumoured guests include singer Selena Gomez, actors Lena Dunham and Bradley Cooper and his girlfriend supermodel Gigi Hadid.
Singers Ed Sheeran and Suki Waterhouse are expected, as well as several of Kelce's Kansas City Chiefs teammates.
The Knicks' starting five, Jalen Brunson, Josh Hart, Mikal Bridges, OG Anunoby and Karl-Anthony Towns, have reportedly been invited, following their historic NBA championship victory a few weeks ago.
Ahead of the wedding, the pair donated 26 million dollars ($A38 million) to 20 charities including nine food banks, an animal cruelty organisation, seven educational programmes, and three children's hospitals.
Country music matriarch Dolly Parton jokingly asked Taylor Swift and Travis Kelce if she can have their firstborn child as she thanked them for their pre-wedding donation to her charity.
The 80-year-old's charitable Dolly Foundation, posts free books to children every month from birth until they are five years old.
There have been months of speculation about where the couple – who got engaged in August last year – would get married.
But the secret was out when crews were seen unloading equipment from trucks outside Madison Square Garden, including a large carpet.
New York police commissioner Jessica Tisch said at a press conference on Wednesday that the department was tracking an event at the New York arena.
New York City's mayor, Zohran Mamdani, also confirmed that a permit was filed for a large event.
"We are fully prepared. There isn't anything to share beyond that," he said.
Swift and Kelce, both 36, announced their engagement in a joint Instagram post, which read: "Your English teacher and your gym teacher are getting married."
The event will also be taking place over the fourth of July weekend, which marks 250 years of US independence.
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