Kloss announced the news on social media, captioning a photo fo the happy couple simply with the date of the wedding.
The news may come as a shock to some, as the couple announced their engagement three months ago in July.
Karlie Kloss arrives at the MTV Video Music Awards at Radio City Music Hall on Monday, Aug. 20, 2018, in NY.
If you're as mesmerised by Karlie's classic dress as I am, you'd be keen to know that she wore a custom lace gown designed by Dior.
"They're both overjoyed and happily celebrating", a source told People at the time.
According the New York Post eighty guests attended the small Jewish wedding ceremony, which was held in upstate New York, according to People magazine.
"Jen, don't worry, Taylor and I are still really good friends", Kloss assured.
Mr Kushner, 33, is the younger brother of Jared Kushner, who is the husband of Ivanka Trump and senior adviser to Donald Trump. As seen in a close-up shot the bride's sister Kristine Kloss shared on Instagram Stories, the gown was cinched with a narrow silk bow.
"I missed you guys so much!" she wrote along with a selfie.